Factors of 1600
2026-02-28 13:20 Diff

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

Step 1: Firstly, 1600 is divided by 2 to get 800.

Step 2: Now divide 800 by 2 to get 400.

Step 3: Then divide 400 by 2 to get 200.

Step 4: Divide 200 by 2 to get 100.

Step 5: Divide 100 by 2 to get 50.

Step 6: Divide 50 by 2 to get 25.

Step 7: Divide 25 by 5 to get 5. Here, 5 is the smallest prime number, that cannot be divided anymore.

So, the prime factorization of 1600 is: 26 × 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 1600: (1, 1600), (2, 800), (4, 400), (5, 320), (8, 200), (10, 160), (16, 100), (20, 80), (25, 64), and (32, 50).

Negative factor pairs of 1600: (-1, -1600), (-2, -800), (-4, -400), (-5, -320), (-8, -200), (-10, -160), (-16, -100), (-20, -80), (-25, -64), and (-32, -50).