# Prime factorization of 300

Here you will see step by step solution of prime factorization of 300, how to find factors of 300, you will see all factors of 300, how many factors of 300 has? Factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300, we can see that 300 has 18 factor and sum of all factors is 868.

• All Factors of 300: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
• Prime Factors of 300: 2 × 2 × 3 × 5 × 5
• Prime Factorization of 300: 22 × 31 × 52
• Sum of Factors of 300: 868
• Is 300 prime number: No

### How to find factors of 300 by Division Method?

To find the factors of 300 by division method, we need the find the all numbers between 1 to 300, which divide 300 with 0 remainder, then the number is factor of 300.

### Pair factors of 300

• 300/1 = 300 [ 1 × 300 (1, 300) 1 and 300 is pair factor of 300]
• 300/2 = 150 [ 2 × 150 (2, 150) 2 and 150 is pair factor of 300]
• 300/3 = 100 [ 3 × 100 (3, 100) 3 and 100 is pair factor of 300]
• 300/4 = 75 [ 4 × 75 (4, 75) 4 and 75 is pair factor of 300]
• 300/5 = 60 [ 5 × 60 (5, 60) 5 and 60 is pair factor of 300]
• 300/6 = 50 [ 6 × 50 (6, 50) 6 and 50 is pair factor of 300]
• 300/10 = 30 [ 10 × 30 (10, 30) 10 and 30 is pair factor of 300]
• 300/12 = 25 [ 12 × 25 (12, 25) 12 and 25 is pair factor of 300]
• 300/15 = 20 [ 15 × 20 (15, 20) 15 and 20 is pair factor of 300]
• 300/20 = 15 [ 20 × 15 (20, 15) 20 and 15 is pair factor of 300]
• 300/25 = 12 [ 25 × 12 (25, 12) 25 and 12 is pair factor of 300]
• 300/30 = 10 [ 30 × 10 (30, 10) 30 and 10 is pair factor of 300]
• 300/50 = 6 [ 50 × 6 (50, 6) 50 and 6 is pair factor of 300]
• 300/60 = 5 [ 60 × 5 (60, 5) 60 and 5 is pair factor of 300]
• 300/75 = 4 [ 75 × 4 (75, 4) 75 and 4 is pair factor of 300]
• 300/100 = 3 [ 100 × 3 (100, 3) 100 and 3 is pair factor of 300]
• 300/150 = 2 [ 150 × 2 (150, 2) 150 and 2 is pair factor of 300]
• 300/300 = 1 [ 300 × 1 (300, 1) 300 and 1 is pair factor of 300]

As we checked numbers between 1 to 300 that are not leaving any remainder, hence we can say factors of 300 is 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300.

Also note that, in exponential form prime factorization of 300 is written as 22 × 31 × 52 and it is a composite number.

#### Prime Factorization Calculator

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