Check back every now and then. As I find new facts about the number 2025, I’ll add them.
Countdown to 2025:
Math up your countdown to 2025…
= (10×9×8×7÷6÷5×4+3)×(2+1)
= (10+(9+8×7)×6)×5+4×3×2+1
= (10+(9×(8−(7−6×5))))×(4×3)+2-1+0!
= 10×(9+8×7−6+5!+4!)−3×2+1
= 10×9×(8+7+6)+5!+4×3+2+1
= (10+9)×(8+7+6)×5+4!+3+2+1#HappyNewYear#HappyNewYear2025 pic.twitter.com/BH4Jz2MbLX— Maths Ed (@MathsEdIdeas) December 31, 2024
The number 2025 is special:-
1) It’s a perfect square (45×45 = 2025) which comes after 89 years, the last was 1936.
2) It’s product of two perfect square, 9² × 5² = 2025.
3) It’s sum of three perfect squares, 40² + 20² + 5² = 2025.
May this year brings happiness & success! pic.twitter.com/maiRd0t5Th
— Radha Mohan (@RADHAMOHANKUNWA) January 1, 2025
Fun with the Digits of 2025:
The countdown to 2025 is on! I’ve been having so much fun making 2025-themed puzzles the last few weeks. It’s time to start sharing them!
2025 Square Edge Matching Puzzle
mathequalslove.net/yearly-squar…
#mtbos #iteachmath #edusky #mathsky #puzzlingclassroom
— Sarah Carter (@mathequalslove.bsky.social) December 26, 2024 at 8:37 AM
Start the New Year with a fun #math challenge! 🎉🧊 Break the ice with your students using the 2025 Year Game.
How many expressions can you and your students create from the numbers 1 to 100—using only the digits in 2025? Try it now: nctm.link/LvN1e
— NCTM (@nctm.org) December 26, 2024 at 6:23 AM
Happy New Year folks! 🥳
Share your own fun facts about the number 2025 😌 pic.twitter.com/xthCAwghC1— Andrzej Kukla (@Mathinity_) December 31, 2024
2024 was the year of the dragon, next year -is- the dragon
— Odendo (@odendo.bsky.social) December 22, 2024 at 1:18 PM
Factors of 2025:
Unless you were born before the end of 1936, 2025 will be the only year in your lifetime with exactly 15 factors.
- 2025 is a composite number.
- Prime factorization: 2025 = 3 × 3 × 3 × 3 × 5 × 5, which can be written 1458 = 3⁴ × 5².
- Since its prime factorization only contains even powers, 2025 is a perfect square. √2025 =
- The exponents in the prime factorization are 4 and 2. Adding one to each exponent and multiplying, we get (4 + 1)(2 + 1) = 5 × 3 = 15. Therefore, 2025 has exactly 15 factors.
- The factors of 2025 are outlined with their factor pair partners in the graphic below.
Here’s another way to display the factor pairs of 2025, although several are outside the visible gridlines.
Let’s continue the countdown to 2025.
Today’s 2025 Factor Tree Puzzle was inspired by Dr. Harold Reiter who presented on factor tree puzzles at a math teachers’ circle workshop I attended.
mathequalslove.net/2025-factor-…
#mtbos #iteachmath #puzzlingclassroom #mathsky #edusky
— Sarah Carter (@mathequalslove.bsky.social) December 27, 2024 at 8:14 AM
Happy New Year! The prime number decomposition of 2025 is super-cool: the first 5 numbers co-operate in an elegant fashion. I think it’s going to be a good year!
🥳🥂🔥❤️ pic.twitter.com/SM7Keoekrf— Edward Frenkel (@edfrenkel) December 31, 2024
Square Facts About 2025:
For the past few years, I’ve created a list of number facts about the year’s number. Here’s the 2025 version.
2025 is an odd composite number composed of two prime numbers multiplied together (3 × 3 × 3 × 3 × 5 x 5 or 3^4 x 5^2)
2025 is written as MMXXV in Roman numerals.
— Thomas Pitts (@ThomasJPitts) December 31, 2024
2025
=45²
={9(9+1)/2}²
=1³+2³+3³+4³+5³+6³+7³+8³+9³— taiga@cozy studio (@nico_taiga) January 1, 2025
Writing 1 once, 2 twice, 3 three times, and so on, up to 45 forty-five times [or (20+25) (20+25) times], produces a string of 2025 or 45² [or (20+25)²] digits — the only number where this happens. #HappyNewYear2025 • https://t.co/MALfH2q9yi pic.twitter.com/NJBXcrLz9Y
— Maths Ed (@MathsEdIdeas) December 28, 2024
2025 is going to be a really square year, and also be on the lookout for this specific square date!
#math #ITeachMath #EduSky
youtube.com/shorts/CEZ6B...
— Howie Hua (@howiehua.bsky.social) December 29, 2024 at 8:02 AM
This morning I learned that 2025 will be the first 'perfect square' year (45x45) since 1936 (44x44) and there won't be another until 2116 (46x46). Expressed in month/day/year format, there will be a total of 8 'perfect square dates' in 2025 (ex. 1/09/2025 ➡️ 1092025 ➡️ 1045x1045).
— Andrew in New Jersey (@aannddrreeww.bsky.social) November 19, 2024 at 9:38 AM
A classic proof without words showing that 1+3+5+...+(2n-1)=n² taking advantage of the fact that 2025 is a square and therefore it's the sum of all odd numbers from 1 to 89!#MathArt #Mathematics #HappyNewYear
Made with #python #matplotlib pic.twitter.com/uwpnBnRbwH
— Simone Conradi (find me in BlueSky) (@S_Conradi) December 31, 2024
2025 is …
a perfect square 45 x 45 = 2025.
a sum of cubes: 1³ + 2³ + 3³ + ... + 9³ = 2025
a perfect square when you add 1 to each digit:
3136 = 56²
a perfect square when you increase the first digit by 1:
3025 = 55²
Maybe the only number with all these properties
— Peyman Milanfar (@docmilanfar) December 31, 2024
Patterns are Beautiful
More here https://t.co/IFkbhqzQq6#math1089 #math #maths #mathematics #algebra #numbers #pattern #happynewyear2025 #HappyNewYear #HappyNewWeek #HappyNewMonth pic.twitter.com/zgdpDkEXd7— Math1089 (@Math1089_9801) December 27, 2024
2025 Pythagorean Triples:
Then have a bit more of that info:
* 2025 is also Pythagorean: 27²+36²=45²=2025.
* Also, when it is 20:25 (does not work in am/pm notation) then exactly 35²=1225 minutes have passed, another square.
* Finally, 20 and 25 are letters T and Y.Bottom line, 2025 will be a good and a polite one.
— Christophe Smet (@christophesmet.bsky.social) December 23, 2024 at 6:13 AM
2025 is the hypotenuse of two Pythagorean triples:
1215-1620-2025, which is (3-4-5) times 405, and
567-1944-2025, which is (7-24-25) times 81.
2025 is a leg in a bunch of Pythagorean triples:
2025-2700-3375, which is (3-4-5) times 675,
2025-4860-5265, which is (5-12-13) times 405,
2025-9000-9225, which is (9-40-41) times 225,
2025-15120-15255, which is (15-112-113) times 135,
1080-2025-2295, which is (8-15-17) times 135,
2025-25272-25353, which is (25-312-313) times 81,
2025-27300-27375, which is (27-364-365) times 75,
1260-2025-2385, which is (28-45-53) times 45,
2025-45540-45585, which is (45-1012-1013) times 45,
2025-8316-8559, which is (75-308-317) times 27,
2025-75924-75951, which is (75-2812-2813) times 27,
2025-82000-82025, which is (81-3280-3281) times 25,
2025-5280-5655, which is (135-352-377) times 15,
2025-136680-136695, which is (135-9112-9113) times 15,
2025-2448-3177, which is (225-272-353) times 9,
2025-227808-227817, which is (225-25312-25313) times 9,
2025-410060-410065, which is (405-82012-82013) times 5
156-2025-2031, which is (52-675-677) times 3,
2025-683436-683439, which is (675-227812-227813) times 3, and finally, this primitive,
2025-2050312-2050313 calculated from 2025, (2025²-1²)/2, (2025²+1²)/2.
Powerful Facts about 2025:
Pour les amoureux des maths :
2025 est le carré de la somme des chiffres de 1 à 9 :
(1+2+3+4+5+6+7+8+9)² = 20252025 est aussi la somme des cubes des chiffres de 1 à 9 :
1³+2³+3³+4³+5³+6³+7³+8³+9³= 2025.C'est le théorème de Nicomaque :
fr.wikipedia.org/wiki/Somme_d...— Pierre Col (@pierrecol.bsky.social) December 23, 2024 at 9:41 AM
2025 is the sum of all the products in the multiplication table from 1 to 9 because:
2025 = (1+2+3+4+5+6+7+8+9)²
This @GeoGebra #MathGIF shows why we also have:
2025= 1³+2³+3³+4³+5³+6³+7³+8³+9³
⏯https://t.co/osAAevIPVe#HappyNewYear2025 pic.twitter.com/KWjLL7vJk5— Vincent Pantal🍩ni (@panlepan) December 31, 2024
Numbers are Beautiful
Number 2025 using only 2https://t.co/C7Ju7UJb7s#math1089 #math #maths #mathematics #algebra #mathtutor #mathstudent #mathtutoring #mathematical #mathteacher #MathsStudent #HappyNewYear #numbers pic.twitter.com/MmXqpLo5Ap— Math1089 (@Math1089_9801) October 21, 2024
2025 Shapes:
2025 is a perfect 45×45 square, but what other shapes can it be in?
Maybe 2025 will be the only square number in your lifetime, but it definitely will be the only centered octagonal number you will live to see.
No es fácil a estas alturas poner alguna #curiosidad sobre el número 2025
Se ha comentado mucho sobre que es un cuadrado perfecto
2025=45² ó incluso más chulo aún:
2025=(20+25)²Pero creo que nadie ha dicho que 2025 es un número octogonal centrado
Feliz año pic.twitter.com/TKfBJZrt5M
— Roberto Santos (@rober_fun) December 29, 2024
Useless facts about 2025:
-it is the sum of the first 9 cubes
-it is the number of spanning trees in K₃,₅
-2²⁰²⁵ is an apocalyptic number, which means its digits contain 666 as a substring
-this circle contains 2025 squares pic.twitter.com/BL5MSRVVXC— Anthony Bonato (@Anthony_Bonato) December 30, 2024
2025 Magic Square:
Reflexive Year 25: Mathematics of 25 and 2025 in Numbers and Magic Squares – Part 1 https://t.co/qOdZSEUFyfhttps://t.co/URGYCWBvPn pic.twitter.com/73qMQ2w3Dw
— INDER J. TANEJA (@IJTANEJA) December 31, 2024
Reflexive Year 25: Mathematics of 25 and 2025 in Numbers and Magic Squares – Part 2https://t.co/X9imUnmNyh
https://t.co/URGYCWBvPn
Magic Square of Order 4 with 2025. Happy New Year pic.twitter.com/MIH5RTgnrn— INDER J. TANEJA (@IJTANEJA) December 31, 2024
2025 is the sum of consecutive numbers:
2025 es un número educado o cortés (polite number).https://t.co/Q5RTCebrAL pic.twitter.com/nE3wLqHIef
— MATEMATICASCERCANAS (@matescercanas) December 29, 2024
Other Interesting 2025 Sums:
En las siguientes identidades el número 2025 se apoya en otros números y en sus cifras:
2025=1998+1+9+9+8
2025=2016+2+0+1+6
2025=135×1×3×5
2025=632+6^4+3^4+2^4
2025=2030-2-0-3-0— Antonio Roldán (@Connumeros) December 26, 2024
Happy New Year 2025
Pattern starting with 2025
More here https://t.co/IFkbhqzQq6https://t.co/KKQ58mYkxL#math1089 #math #maths #mathematics #algebra #numbers #pattern #happynewyear2025 #HappyNewYear #HappyNewWeek #HappyNewMonth #HappyNewYearInAdvance #happynewmonthchallenge pic.twitter.com/isQvYXcjqu— Math1089 (@Math1089_9801) December 30, 2024
Happy New Year 2025
Single digit representation
More here https://t.co/IFkbhqzQq6https://t.co/qRPeMiOi6P#math1089 #math #maths #mathematics #algebra #numbers #pattern #happynewyear2025 #HappyNewYear #HappyNewWeek #HappyNewMonth #HappyNewYearInAdvance #happynewmonthchallenge pic.twitter.com/3wyKkFLRlU— Math1089 (@Math1089_9801) December 29, 2024