1591 Conversation Heart

Today’s Puzzle:

If this valentine-shaped level 6 puzzle gets kids talking about multiplication, then it will truly be a conversation heart.

Factors of 1591:

  • 1591 is a composite number.
  • Prime factorization: 1591 = 37 × 43.
  • 1591 has no exponents greater than 1 in its prime factorization, so √1591 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 1591 has exactly 4 factors.
  • The factors of 1591 are outlined with their factor pair partners in the graphic below.

More about the Number 1591:

1591 is the difference of two squares two different ways:
796² – 795² = 1591, and
40² – 3² = 1591. That means we are only 3², or 9 numbers away from the next perfect square, 40², or 1600.