Find pairs of factors for the product 1440.

Question

ScanSolve AI Tutor · Accepted Answer

To find possible multiplicand and multiplier pairs for a product of 1440, we need to find pairs of factors of 1440.

Find the prime factorization of 1440.
$1440 = 144 \times 10 = (12 \times 12) \times (2 \times 5) = (2^2 \times 3 \times 2^2 \times 3) \times (2 \times 5) = 2^5 \times 3^2 \times 5^1$
Combine these prime factors in different ways to form pairs of multiplicands and multipliers.
Here are a few examples:
- Example 1: Multiplicand: 10 Multiplier: 144
  $10 \times 144 = \boxed{1440}$
- Example 2: Multiplicand: 12 Multiplier: 120
  $12 \times 120 = \boxed{1440}$
- Example 3: Multiplicand: 20 Multiplier: 72
  $20 \times 72 = \boxed{1440}$
- Example 4: Multiplicand: 30 Multiplier: 48
  $30 \times 48 = \boxed{1440}$

Step-by-step solution