Factors of 1080
2026-02-28 13:46 Diff

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

Step 1: Firstly, 1080 is divided by 2 to get 540.

Step 2: Now divide 540 by 2 to get 270.

Step 3: Then divide 270 by 2 to get 135.

Step 4: Divide 135 by 3 to get 45.

Step 5: Divide 45 by 3 to get 15. Step 6: Divide 15 by 3 to get 5.

Here, 5 is the smallest prime number and cannot be divided anymore.

So, the prime factorization of 1080 is: \(2^3 \times 3^3 \times 5\).

Factor Pairs Two numbers that are multiplied to give a specific number are called as factor pairs.

Both positive and negative factors constitute factor pairs.

Positive factor pairs of 1080: (1, 1080), (2, 540), (3, 360), (4, 270), (5, 216), (6, 180), (9, 120), (10, 108), (12, 90), (15, 72), (18, 60), (20, 54), (24, 45), (27, 40), and (30, 36).

Negative factor pairs of 1080: (-1, -1080), (-2, -540), (-3, -360), (-4, -270), (-5, -216), (-6, -180), (-9, -120), (-10, -108), (-12, -90), (-15, -72), (-18, -60), (-20, -54), (-24, -45), (-27, -40), and (-30, -36).