Factors of 3675
2026-02-28 08:33 Diff

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -

Step 1: Firstly, 3675 is divided by 3 to get 1225.

Step 2: Now divide 1225 by 5 to get 245.

Step 3: Then divide 245 by 5 to get 49.

Step 4: Divide 49 by 7 to get 7. Here, 7 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 3675 is: 3 × 52 × 72.

Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.

Positive factor pairs of 3675: (1, 3675), (3, 1225), (5, 735), (7, 525), (15, 245), (21, 175), (25, 147), (35, 105), (49, 75).

Negative factor pairs of 3675: (-1, -3675), (-3, -1225), (-5, -735), (-7, -525), (-15, -245), (-21, -175), (-25, -147), (-35, -105), (-49, -75).