Factors of 3000
2026-02-28 18:02 Diff

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

Step 1: Firstly, 3000 is divided by 2 to get 1500.

Step 2: Now divide 1500 by 2 to get 750.

Step 3: Then divide 750 by 2 to get 375.

Step 4: Divide 375 by 3 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 3000 is: 2³ × 3 × 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 3000: (1, 3000), (2, 1500), (3, 1000), (4, 750), (5, 600), (6, 500), (8, 375), (10, 300), (12, 250), (15, 200), (20, 150), (24, 125), (25, 120), (30, 100), (40, 75), (50, 60).

Negative factor pairs of 3000: (-1, -3000), (-2, -1500), (-3, -1000), (-4, -750), (-5, -600), (-6, -500), (-8, -375), (-10, -300), (-12, -250), (-15, -200), (-20, -150), (-24, -125), (-25, -120), (-30, -100), (-40, -75), (-50, -60).