Today’s Puzzle:

I ♥ U. Here’s a Valentine’s Day puzzle for you to enjoy. It might be a little tricky so remember to use logic to find all the factors! There are some other mathy Valentine’s Day activities at the end of the post.

Factors of 1778:

• 1778 is a composite number.
• Prime factorization: 1778 = 2 × 7 × 127.
• 1778 has no exponents greater than 1 in its prime factorization, so √1778 cannot be simplified.
• The exponents in the prime factorization are 1, 1, and 1. Adding one to each exponent and multiplying we get (1 + 1)(1 + 1)(1 + 1) = 2 × 2 × 2 = 8. Therefore 1778 has exactly 8 factors.
• The factors of 1778 are outlined with their factor pair partners in the graphic below.

More About the Number 1778:

1778 is the sum of four consecutive numbers:
443 + 444 + 445 + 446 = 1778.

1778 is the sum of seven consecutive numbers:
251 + 252 + 253 + 254 + 255 + 256 + 257 = 1778.

1778 is not the difference of two squares, but it is this:
446² – 445² + 444² – 443² =  1778.

1778 is palindrome, A6A in base13, because
10(13²) + 6(13) + 10(1) = 1778.

Other Mathy Valentine’s Day Activities:

For Valentine’s Day, we have 5 puzzles for you to choose from that range from mild to extra spicy. Pick one or pick a few that you think your students will enjoy! Click the link in our bio for all the puzzles 🧩 #MathMedic #ValentinesDay #puzzles #love #teacherlife pic.twitter.com/KwdM3jZTBW

— Math Medic (@MathMedic) February 13, 2024

💜 Valentine’s Day is only a few days away!

Are you looking for any math-themed valentines? 💛

Don’t worry, we got you. 😍#TeacherTwitter #ITeachMath pic.twitter.com/uWvWB5isrH

— Zearn (@zearned) February 12, 2024

Around Valentine’s Day, heart-shaped pictures appear in many homes, classrooms, and community spaces. Take advantage of these images to help children explore key early math concepts. https://t.co/eiTJIdIwRQ

— DREME Network (@DREMEmath) February 13, 2024

These math-themed Valentines really put the FUN in functions! 💖✨

Tag a math person you would send one of these cards to! 💖🫂 https://t.co/4XmxWC9dL7

— Zearn (@zearned) February 13, 2024

So much math in the process of origami – spatial reasoning, symmetry, angles, shapes, lines, comparative measurement, estimation, transformational geometry, visualization, etc.
Origami heart instructional video: https://t.co/7fU0LhgwYx #sd38learn

— Janice Novakowski (@jnovakowski38) February 13, 2024

Valentine’s Day is coming up so here’s something math-y you can do with your Valentine (or with your math class!) pic.twitter.com/juFere5coo

— Howie Hua (@howie_hua) February 11, 2024

The #Heart of #math pic.twitter.com/FQwLi2YTP9

— SKG (@sonukg4india) January 12, 2024

Check out the Valentine math activities at https://t.co/rI3W739h21 There is something for every grade but primary. My favorite would be the “Mobius Double Heart” which is shown below. #iTeachMath #MTBoS #MathEd #MathChat pic.twitter.com/LuoBFF7fhU

— Lenny VerMaas (@LennyVerMaas) February 8, 2024

Math love for Valentine’s: https://t.co/K3i1vIOxrT (Play with the sliders)

— Murray Bourne (@bourne_2_learn) February 13, 2024