Factors of 7500
2026-02-28 17:35 Diff

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

Step 1: Firstly, 7500 is divided by 2 to get 3750.

Step 2: Now divide 3750 by 2 to get 1875.

Step 3: Then divide 1875 by 3 to get 625.

Step 4: Divide 625 by 5 to get 125.

Step 5: Divide 125 by 5 to get 25.

Step 6: Divide 25 by 5 to get 5. Here, 5 is the smallest prime number that cannot be divided anymore.

So, the prime factorization of 7500 is: 2² × 3 × 5⁴.

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 7500: (1, 7500), (2, 3750), (3, 2500), (4, 1875), (5, 1500), (6, 1250), (10, 750), (15, 500), (20, 375), (25, 300), (30, 250), (50, 150), (60, 125), and (75, 100).

Negative factor pairs of 7500: (-1, -7500), (-2, -3750), (-3, -2500), (-4, -1875), (-5, -1500), (-6, -1250), (-10, -750), (-15, -500), (-20, -375), (-25, -300), (-30, -250), (-50, -150), (-60, -125), and (-75, -100).