# Prime factorization of 420

Here you will see step by step solution of prime factorization of 420, how to find factors of 420, you will see all factors of 420, how many factors of 420 has? Factors of 420 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420, we can see that 420 has 24 factor and sum of all factors is 1344.

• All Factors of 420: 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
• Prime Factors of 420: 2 × 2 × 3 × 5 × 7
• Prime Factorization of 420: 22 × 31 × 51 × 71
• Sum of Factors of 420: 1344
• Is 420 prime number: No

### How to find factors of 420 by Division Method?

To find the factors of 420 by division method, we need the find the all numbers between 1 to 420, which divide 420 with 0 remainder, then the number is factor of 420.

### Pair factors of 420

• 420/1 = 420 [ 1 × 420 (1, 420) 1 and 420 is pair factor of 420]
• 420/2 = 210 [ 2 × 210 (2, 210) 2 and 210 is pair factor of 420]
• 420/3 = 140 [ 3 × 140 (3, 140) 3 and 140 is pair factor of 420]
• 420/4 = 105 [ 4 × 105 (4, 105) 4 and 105 is pair factor of 420]
• 420/5 = 84 [ 5 × 84 (5, 84) 5 and 84 is pair factor of 420]
• 420/6 = 70 [ 6 × 70 (6, 70) 6 and 70 is pair factor of 420]
• 420/7 = 60 [ 7 × 60 (7, 60) 7 and 60 is pair factor of 420]
• 420/10 = 42 [ 10 × 42 (10, 42) 10 and 42 is pair factor of 420]
• 420/12 = 35 [ 12 × 35 (12, 35) 12 and 35 is pair factor of 420]
• 420/14 = 30 [ 14 × 30 (14, 30) 14 and 30 is pair factor of 420]
• 420/15 = 28 [ 15 × 28 (15, 28) 15 and 28 is pair factor of 420]
• 420/20 = 21 [ 20 × 21 (20, 21) 20 and 21 is pair factor of 420]
• 420/21 = 20 [ 21 × 20 (21, 20) 21 and 20 is pair factor of 420]
• 420/28 = 15 [ 28 × 15 (28, 15) 28 and 15 is pair factor of 420]
• 420/30 = 14 [ 30 × 14 (30, 14) 30 and 14 is pair factor of 420]
• 420/35 = 12 [ 35 × 12 (35, 12) 35 and 12 is pair factor of 420]
• 420/42 = 10 [ 42 × 10 (42, 10) 42 and 10 is pair factor of 420]
• 420/60 = 7 [ 60 × 7 (60, 7) 60 and 7 is pair factor of 420]
• 420/70 = 6 [ 70 × 6 (70, 6) 70 and 6 is pair factor of 420]
• 420/84 = 5 [ 84 × 5 (84, 5) 84 and 5 is pair factor of 420]
• 420/105 = 4 [ 105 × 4 (105, 4) 105 and 4 is pair factor of 420]
• 420/140 = 3 [ 140 × 3 (140, 3) 140 and 3 is pair factor of 420]
• 420/210 = 2 [ 210 × 2 (210, 2) 210 and 2 is pair factor of 420]
• 420/420 = 1 [ 420 × 1 (420, 1) 420 and 1 is pair factor of 420]

As we checked numbers between 1 to 420 that are not leaving any remainder, hence we can say factors of 420 is 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420.

Also note that, in exponential form prime factorization of 420 is written as 22 × 31 × 51 × 71 and it is a composite number.

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