Factors of 1440
2026-02-28 11:40 Diff

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

Step 1: Firstly, 1440 is divided by 2 to get 720.

Step 2: Now divide 720 by 2 to get 360.

Step 3: Then divide 360 by 2 to get 180.

Step 4: Divide 180 by 2 to get 90.

Step 5: Divide 90 by 2 to get 45.

Step 6: Divide 45 by 3 to get 15.

Step 7: Divide 15 by 3 to get 5.

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

So, the prime factorization of 1440 is: 2^5 × 3^2 × 5.

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 1440: (1, 1440), (2, 720), (3, 480), (4, 360), (5, 288), (6, 240), (8, 180), (9, 160), (10, 144), (12, 120), (15, 96), (16, 90), (18, 80), (20, 72), (24, 60), (30, 48), (32, 45), (36, 40).

Negative factor pairs of 1440: (-1, -1440), (-2, -720), (-3, -480), (-4, -360), (-5, -288), (-6, -240), (-8, -180), (-9, -160), (-10, -144), (-12, -120), (-15, -96), (-16, -90), (-18, -80), (-20, -72), (-24, -60), (-30, -48), (-32, -45), (-36, -40).