Today’s Puzzle:
Look how much fun these kids are having doing multiplication!
5th graders are having fun while practicing fast facts! Multiplication Clock Race may be our new favorite game!⏰ #RJLPride pic.twitter.com/Nm3PpUPcuQ
— Kelly Verity (@MissVerityMath) June 17, 2021
A game like that can help kids get ready to solve a fun puzzle based on the multiplication table.
Write each number from 1 to 10 in both the first column and the top row so that those numbers and the given clues become a multiplication table.
Factors of 1651:
- 1651 is a composite number.
- Prime factorization: 1651 = 13 × 127.
- 1651 has no exponents greater than 1 in its prime factorization, so √1651 cannot be simplified.
- The exponents in the prime factorization are 1 and 1. Adding one to each exponent and multiplying we get (1 + 1)(1 + 1) = 2 × 2 = 4. Therefore 1651 has exactly 4 factors.
- The factors of 1651 are outlined with their factor pair partners in the graphic below.
More About the Number 1651:
1651 is the hypotenuse of a Pythagorean triple:
635-1524-1651, which is (5-12-13) times 127.
1651 is the 26th heptagonal number because
5(26²)/2 – 3(26)/2 = 1651.
1651 is a nice-looking palindrome in base 2:
1651₁₀ = 11001110011₂.
That just means that
2¹⁰ + 2⁹ + 2⁶ + 2⁵ + 2⁴+ 2¹+ 2⁰ = 1024 + 512 + 64 + 32 + 16 + 2 + 1 = 1651.