Factors of 1728
2026-02-21 20:39 Diff

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

Step 1: Firstly, 1728 is divided by 2 to get 864.

Step 2: Now divide 864 by 2 to get 432.

Step 3: Then divide 432 by 2 to get 216.

Step 4: Divide 216 by 2 to get 108.

Step 5: Divide 108 by 2 to get 54.

Step 6: Divide 54 by 2 to get 27.

Step 7: Divide 27 by 3 to get 9.

Step 8: Divide 9 by 3 to get 3. Here, 3 is the smallest prime number, which cannot be divided anymore. So, the prime factorization of 1728 is: 26 × 33.

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 1728: (1, 1728), (2, 864), (3, 576), (4, 432), (6, 288), (8, 216), (9, 192), (12, 144), (16, 108), (18, 96), (24, 72), (27, 64), (32, 54), (36, 48).

Negative factor pairs of 1728: (-1, -1728), (-2, -864), (-3, -576), (-4, -432), (-6, -288), (-8, -216), (-9, -192), (-12, -144), (-16, -108), (-18, -96), (-24, -72), (-27, -64), (-32, -54), (-36, -48).