### 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 **26**th heptagonal number because

5(**26**²)/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.