Factors of 10500
2026-02-28 11:25 Diff

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows how to construct a factor tree for 10500:

Step 1: Firstly, 10500 is divided by 2 to get 5250.

Step 2: Now divide 5250 by 2 to get 2625.

Step 3: Then divide 2625 by 3 to get 875.

Step 4: Divide 875 by 5 to get 175

Step 5: Divide 175 by 5 to get 35.

Step 6: Divide 35 by 5 to get 7.

Here, 7 is the smallest prime number that cannot be divided anymore.

So, the prime factorization of 10500 is: 2² × 3 × 5³ × 7.

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 10500: (1, 10500), (2, 5250), (3, 3500), (4, 2625), (5, 2100), (6, 1750), (7, 1500), (10, 1050), (12, 875), (14, 750), (15, 700), (20, 525), (21, 500), (25, 420), (28, 375), (30, 350), (35, 300), (42, 250), (50, 210), (60, 175), (70, 150), (75, 140), (84, 125), (100, 105).

Negative factor pairs of 10500: (-1, -10500), (-2, -5250), (-3, -3500), (-4, -2625), (-5, -2100), (-6, -1750), (-7, -1500), (-10, -1050), (-12, -875), (-14, -750), (-15, -700), (-20, -525), (-21, -500), (-25, -420), (-28, -375), (-30, -350), (-35, -300), (-42, -250), (-50, -210), (-60, -175), (-70, -150), (-75, -140), (-84, -125), (-100, -105).