Factors of 13500
2026-02-21 20:42 Diff

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

Step 1: Firstly, 13500 is divided by 2 to get 6750.

Step 2: Now divide 6750 by 2 to get 3375.

Step 3: Then divide 3375 by 3 to get 1125.

Step 4: Divide 1125 by 3 to get 375.

Step 5: Divide 375 by 3 to get 125.

Step 6: Divide 125 by 5 to get 25.

Step 7: Divide 25 by 5 to get 5.

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

So, the prime factorization of 13500 is: 2² × 3³ × 5³.

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 13500: (1, 13500), (2, 6750), (3, 4500), (5, 2700), (6, 2250), (9, 1500), (10, 1350), (15, 900), (18, 750), (20, 675), (25, 540), (30, 450), (36, 375), (45, 300), (50, 270), (54, 250), (75, 180), (90, 150), (100, 135), (108, 125).

Negative factor pairs of 13500: (-1, -13500), (-2, -6750), (-3, -4500), (-5, -2700), (-6, -2250), (-9, -1500), (-10, -1350), (-15, -900), (-18, -750), (-20, -675), (-25, -540), (-30, -450), (-36, -375), (-45, -300), (-50, -270), (-54, -250), (-75, -180), (-90, -150), (-100, -135), (-108, -125).