# Prime factorization of 945

Here you will see step by step solution of prime factorization of 945, how to find factors of 945, you will see all factors of 945, how many factors of 945 has? Factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945, we can see that 945 has 16 factor and sum of all factors is 1920.

• All Factors of 945: 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
• Prime Factors of 945: 3 × 3 × 3 × 5 × 7
• Prime Factorization of 945: 33 × 51 × 71
• Sum of Factors of 945: 1920
• Is 945 prime number: No

### How to find factors of 945 by Division Method?

To find the factors of 945 by division method, we need the find the all numbers between 1 to 945, which divide 945 with 0 remainder, then the number is factor of 945.

### Pair factors of 945

• 945/1 = 945 [ 1 × 945 (1, 945) 1 and 945 is pair factor of 945]
• 945/3 = 315 [ 3 × 315 (3, 315) 3 and 315 is pair factor of 945]
• 945/5 = 189 [ 5 × 189 (5, 189) 5 and 189 is pair factor of 945]
• 945/7 = 135 [ 7 × 135 (7, 135) 7 and 135 is pair factor of 945]
• 945/9 = 105 [ 9 × 105 (9, 105) 9 and 105 is pair factor of 945]
• 945/15 = 63 [ 15 × 63 (15, 63) 15 and 63 is pair factor of 945]
• 945/21 = 45 [ 21 × 45 (21, 45) 21 and 45 is pair factor of 945]
• 945/27 = 35 [ 27 × 35 (27, 35) 27 and 35 is pair factor of 945]
• 945/35 = 27 [ 35 × 27 (35, 27) 35 and 27 is pair factor of 945]
• 945/45 = 21 [ 45 × 21 (45, 21) 45 and 21 is pair factor of 945]
• 945/63 = 15 [ 63 × 15 (63, 15) 63 and 15 is pair factor of 945]
• 945/105 = 9 [ 105 × 9 (105, 9) 105 and 9 is pair factor of 945]
• 945/135 = 7 [ 135 × 7 (135, 7) 135 and 7 is pair factor of 945]
• 945/189 = 5 [ 189 × 5 (189, 5) 189 and 5 is pair factor of 945]
• 945/315 = 3 [ 315 × 3 (315, 3) 315 and 3 is pair factor of 945]
• 945/945 = 1 [ 945 × 1 (945, 1) 945 and 1 is pair factor of 945]

As we checked numbers between 1 to 945 that are not leaving any remainder, hence we can say factors of 945 is 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945.

Also note that, in exponential form prime factorization of 945 is written as 33 × 51 × 71 and it is a composite number.

#### Prime Factorization Calculator

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