# Prime factorization of 748

Here you will see step by step solution of prime factorization of 748, how to find factors of 748, you will see all factors of 748, how many factors of 748 has? Factors of 748 are 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748, we can see that 748 has 12 factor and sum of all factors is 1512.

• All Factors of 748: 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
• Prime Factors of 748: 2 × 2 × 11 × 17
• Prime Factorization of 748: 22 × 111 × 171
• Sum of Factors of 748: 1512
• Is 748 prime number: No

### How to find factors of 748 by Division Method?

To find the factors of 748 by division method, we need the find the all numbers between 1 to 748, which divide 748 with 0 remainder, then the number is factor of 748.

### Pair factors of 748

• 748/1 = 748 [ 1 × 748 (1, 748) 1 and 748 is pair factor of 748]
• 748/2 = 374 [ 2 × 374 (2, 374) 2 and 374 is pair factor of 748]
• 748/4 = 187 [ 4 × 187 (4, 187) 4 and 187 is pair factor of 748]
• 748/11 = 68 [ 11 × 68 (11, 68) 11 and 68 is pair factor of 748]
• 748/17 = 44 [ 17 × 44 (17, 44) 17 and 44 is pair factor of 748]
• 748/22 = 34 [ 22 × 34 (22, 34) 22 and 34 is pair factor of 748]
• 748/34 = 22 [ 34 × 22 (34, 22) 34 and 22 is pair factor of 748]
• 748/44 = 17 [ 44 × 17 (44, 17) 44 and 17 is pair factor of 748]
• 748/68 = 11 [ 68 × 11 (68, 11) 68 and 11 is pair factor of 748]
• 748/187 = 4 [ 187 × 4 (187, 4) 187 and 4 is pair factor of 748]
• 748/374 = 2 [ 374 × 2 (374, 2) 374 and 2 is pair factor of 748]
• 748/748 = 1 [ 748 × 1 (748, 1) 748 and 1 is pair factor of 748]

As we checked numbers between 1 to 748 that are not leaving any remainder, hence we can say factors of 748 is 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748.

Also note that, in exponential form prime factorization of 748 is written as 22 × 111 × 171 and it is a composite number.

#### Prime Factorization Calculator

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