# Prime factorization of 744

Here you will see step by step solution of prime factorization of 744, how to find factors of 744, you will see all factors of 744, how many factors of 744 has? Factors of 744 are 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744, we can see that 744 has 16 factor and sum of all factors is 1920.

• All Factors of 744: 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
• Prime Factors of 744: 2 × 2 × 2 × 3 × 31
• Prime Factorization of 744: 23 × 31 × 311
• Sum of Factors of 744: 1920
• Is 744 prime number: No

### How to find factors of 744 by Division Method?

To find the factors of 744 by division method, we need the find the all numbers between 1 to 744, which divide 744 with 0 remainder, then the number is factor of 744.

### Pair factors of 744

• 744/1 = 744 [ 1 × 744 (1, 744) 1 and 744 is pair factor of 744]
• 744/2 = 372 [ 2 × 372 (2, 372) 2 and 372 is pair factor of 744]
• 744/3 = 248 [ 3 × 248 (3, 248) 3 and 248 is pair factor of 744]
• 744/4 = 186 [ 4 × 186 (4, 186) 4 and 186 is pair factor of 744]
• 744/6 = 124 [ 6 × 124 (6, 124) 6 and 124 is pair factor of 744]
• 744/8 = 93 [ 8 × 93 (8, 93) 8 and 93 is pair factor of 744]
• 744/12 = 62 [ 12 × 62 (12, 62) 12 and 62 is pair factor of 744]
• 744/24 = 31 [ 24 × 31 (24, 31) 24 and 31 is pair factor of 744]
• 744/31 = 24 [ 31 × 24 (31, 24) 31 and 24 is pair factor of 744]
• 744/62 = 12 [ 62 × 12 (62, 12) 62 and 12 is pair factor of 744]
• 744/93 = 8 [ 93 × 8 (93, 8) 93 and 8 is pair factor of 744]
• 744/124 = 6 [ 124 × 6 (124, 6) 124 and 6 is pair factor of 744]
• 744/186 = 4 [ 186 × 4 (186, 4) 186 and 4 is pair factor of 744]
• 744/248 = 3 [ 248 × 3 (248, 3) 248 and 3 is pair factor of 744]
• 744/372 = 2 [ 372 × 2 (372, 2) 372 and 2 is pair factor of 744]
• 744/744 = 1 [ 744 × 1 (744, 1) 744 and 1 is pair factor of 744]

As we checked numbers between 1 to 744 that are not leaving any remainder, hence we can say factors of 744 is 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744.

Also note that, in exponential form prime factorization of 744 is written as 23 × 31 × 311 and it is a composite number.

#### Prime Factorization Calculator

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