Factors of 1200
2026-02-28 13:37 Diff

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

Step 1: Firstly, 1200 is divided by 2 to get 600.

Step 2: Now divide 600 by 2 to get 300.

Step 3: Then divide 300 by 2 to get 150.

Step 4: Divide 150 by 2 to get 75.

Step 5: Divide 75 by 3 to get 25.

Step 6: Divide 25 by 5 to get 5. Here, 5 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1200 is: 24 × 3 × 52.

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 1200: (1, 1200), (2, 600), (3, 400), (4, 300), (5, 240), (6, 200), (8, 150), (10, 120), (12, 100), (15, 80), (16, 75), (20, 60), (24, 50), (25, 48), (30, 40).

Negative factor pairs of 1200: (-1, -1200), (-2, -600), (-3, -400), (-4, -300), (-5, -240), (-6, -200), (-8, -150), (-10, -120), (-12, -100), (-15, -80), (-16, -75), (-20, -60), (-24, -50), (-25, -48), (-30, -40).