# Prime factorization of 84

Here you will see step by step solution of prime factorization of 84, how to find factors of 84, you will see all factors of 84, how many factors of 84 has? Factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, we can see that 84 has 12 factor and sum of all factors is 224.

• All Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
• Prime Factors of 84: 2 × 2 × 3 × 7
• Prime Factorization of 84: 22 × 31 × 71
• Sum of Factors of 84: 224
• Is 84 prime number: No

### How to find factors of 84 by Division Method?

To find the factors of 84 by division method, we need the find the all numbers between 1 to 84, which divide 84 with 0 remainder, then the number is factor of 84.

### Pair factors of 84

• 84/1 = 84 [ 1 × 84 (1, 84) 1 and 84 is pair factor of 84]
• 84/2 = 42 [ 2 × 42 (2, 42) 2 and 42 is pair factor of 84]
• 84/3 = 28 [ 3 × 28 (3, 28) 3 and 28 is pair factor of 84]
• 84/4 = 21 [ 4 × 21 (4, 21) 4 and 21 is pair factor of 84]
• 84/6 = 14 [ 6 × 14 (6, 14) 6 and 14 is pair factor of 84]
• 84/7 = 12 [ 7 × 12 (7, 12) 7 and 12 is pair factor of 84]
• 84/12 = 7 [ 12 × 7 (12, 7) 12 and 7 is pair factor of 84]
• 84/14 = 6 [ 14 × 6 (14, 6) 14 and 6 is pair factor of 84]
• 84/21 = 4 [ 21 × 4 (21, 4) 21 and 4 is pair factor of 84]
• 84/28 = 3 [ 28 × 3 (28, 3) 28 and 3 is pair factor of 84]
• 84/42 = 2 [ 42 × 2 (42, 2) 42 and 2 is pair factor of 84]
• 84/84 = 1 [ 84 × 1 (84, 1) 84 and 1 is pair factor of 84]

As we checked numbers between 1 to 84 that are not leaving any remainder, hence we can say factors of 84 is 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84.

Also note that, in exponential form prime factorization of 84 is written as 22 × 31 × 71 and it is a composite number.

#### Prime Factorization Calculator

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