Factors of 2880
2026-02-28 08:58 Diff

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

Step 1: Firstly, 2880 is divided by 2 to get 1440.

Step 2: Now divide 1440 by 2 to get 720.

Step 3: Then divide 720 by 2 to get 360.

Step 4: Divide 360 by 2 to get 180.

Step 5: Divide 180 by 2 to get 90.

Step 6: Divide 90 by 2 to get 45.

Step 7: Divide 45 by 3 to get 15.

Step 8: Divide 15 by 3 to get 5. Here, 5 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 2880 is: 26 × 32 × 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 2880: (1, 2880), (2, 1440), (3, 960), (4, 720), (5, 576), (6, 480), (8, 360), (9, 320), (10, 288), (12, 240), (15, 192), (16, 180), (18, 160), (20, 144), (24, 120), (30, 96), (32, 90), (36, 80), (40, 72), (45, 64), and (48, 60).

Negative factor pairs of 2880: (-1, -2880), (-2, -1440), (-3, -960), (-4, -720), (-5, -576), (-6, -480), (-8, -360), (-9, -320), (-10, -288), (-12, -240), (-15, -192), (-16, -180), (-18, -160), (-20, -144), (-24, -120), (-30, -96), (-32, -90), (-36, -80), (-40, -72), (-45, -64), and (-48, -60).