Factors of 11664
2026-02-28 19:12 Diff

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

Step 1: Firstly, 11664 is divided by 2 to get 5832.

Step 2: Now divide 5832 by 2 to get 2916.

Step 3: Then divide 2916 by 2 to get 1458.

Step 4: Divide 1458 by 2 to get 729.

Step 5: Divide 729 by 3 to get 243.

Step 6: Divide 243 by 3 to get 81.

Step 7: Divide 81 by 3 to get 27.

Step 8: Divide 27 by 3 to get 9.

Step 9: Divide 9 by 3 to get 3.

Step 10: Finally, 3 is divided by 3 to get 1.

Here, 2 and 3 are the smallest prime numbers, and they cannot be divided anymore.

So, the prime factorization of 11664 is: 2^6 × 3^6.

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 11664: (1, 11664), (2, 5832), (3, 3888), (4, 2916), (6, 1944), (8, 1458), (9, 1296), (12, 972), (16, 729), (18, 648), (24, 486), (27, 432), (36, 324), (48, 243), (54, 216), (72, 162), (81, 144), and (108, 108).

Negative factor pairs of 11664: (-1, -11664), (-2, -5832), (-3, -3888), (-4, -2916), (-6, -1944), (-8, -1458), (-9, -1296), (-12, -972), (-16, -729), (-18, -648), (-24, -486), (-27, -432), (-36, -324), (-48, -243), (-54, -216), (-72, -162), (-81, -144), and (-108, -108).