Factors of 1008
2026-02-28 08:28 Diff

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

Step 1: Firstly, 1008 is divided by 2 to get 504.

Step 2: Now divide 504 by 2 to get 252.

Step 3: Then divide 252 by 2 to get 126.

Step 4: Divide 126 by 2 to get 63.

Step 5: Now divide 63 by 3 to get 21.

Step 6: Divide 21 by 3 to get 7. Here, 7 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1008 is: 24 × 32 × 7.

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 1008: (1, 1008), (2, 504), (3, 336), (4, 252), (6, 168), (7, 144), (8, 126), (9, 112), (12, 84), (14, 72), (16, 63), (18, 56), (21, 48), (24, 42), and (28, 36).

Negative factor pairs of 1008: (-1, -1008), (-2, -504), (-3, -336), (-4, -252), (-6, -168), (-7, -144), (-8, -126), (-9, -112), (-12, -84), (-14, -72), (-16, -63), (-18, -56), (-21, -48), (-24, -42), and (-28, -36).