# Prime factorization of 1014

Here you will see step by step solution of prime factorization of 1014, how to find factors of 1014, you will see all factors of 1014, how many factors of 1014 has? Factors of 1014 are 1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, 1014, we can see that 1014 has 12 factor and sum of all factors is 2196.

• All Factors of 1014: 1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, 1014
• Prime Factors of 1014: 2 × 3 × 13 × 13
• Prime Factorization of 1014: 21 × 31 × 132
• Sum of Factors of 1014: 2196
• Is 1014 prime number: No

### How to find factors of 1014 by Division Method?

To find the factors of 1014 by division method, we need the find the all numbers between 1 to 1014, which divide 1014 with 0 remainder, then the number is factor of 1014.

### Pair factors of 1014

• 1014/1 = 1014 [ 1 × 1014 (1, 1014) 1 and 1014 is pair factor of 1014]
• 1014/2 = 507 [ 2 × 507 (2, 507) 2 and 507 is pair factor of 1014]
• 1014/3 = 338 [ 3 × 338 (3, 338) 3 and 338 is pair factor of 1014]
• 1014/6 = 169 [ 6 × 169 (6, 169) 6 and 169 is pair factor of 1014]
• 1014/13 = 78 [ 13 × 78 (13, 78) 13 and 78 is pair factor of 1014]
• 1014/26 = 39 [ 26 × 39 (26, 39) 26 and 39 is pair factor of 1014]
• 1014/39 = 26 [ 39 × 26 (39, 26) 39 and 26 is pair factor of 1014]
• 1014/78 = 13 [ 78 × 13 (78, 13) 78 and 13 is pair factor of 1014]
• 1014/169 = 6 [ 169 × 6 (169, 6) 169 and 6 is pair factor of 1014]
• 1014/338 = 3 [ 338 × 3 (338, 3) 338 and 3 is pair factor of 1014]
• 1014/507 = 2 [ 507 × 2 (507, 2) 507 and 2 is pair factor of 1014]
• 1014/1014 = 1 [ 1014 × 1 (1014, 1) 1014 and 1 is pair factor of 1014]

As we checked numbers between 1 to 1014 that are not leaving any remainder, hence we can say factors of 1014 is 1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, 1014.

Also note that, in exponential form prime factorization of 1014 is written as 21 × 31 × 132 and it is a composite number.

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