# Prime factorization of 378

Here you will see step by step solution of prime factorization of 378, how to find factors of 378, you will see all factors of 378, how many factors of 378 has? Factors of 378 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378, we can see that 378 has 16 factor and sum of all factors is 960.

• All Factors of 378: 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
• Prime Factors of 378: 2 × 3 × 3 × 3 × 7
• Prime Factorization of 378: 21 × 33 × 71
• Sum of Factors of 378: 960
• Is 378 prime number: No

### How to find factors of 378 by Division Method?

To find the factors of 378 by division method, we need the find the all numbers between 1 to 378, which divide 378 with 0 remainder, then the number is factor of 378.

### Pair factors of 378

• 378/1 = 378 [ 1 × 378 (1, 378) 1 and 378 is pair factor of 378]
• 378/2 = 189 [ 2 × 189 (2, 189) 2 and 189 is pair factor of 378]
• 378/3 = 126 [ 3 × 126 (3, 126) 3 and 126 is pair factor of 378]
• 378/6 = 63 [ 6 × 63 (6, 63) 6 and 63 is pair factor of 378]
• 378/7 = 54 [ 7 × 54 (7, 54) 7 and 54 is pair factor of 378]
• 378/9 = 42 [ 9 × 42 (9, 42) 9 and 42 is pair factor of 378]
• 378/14 = 27 [ 14 × 27 (14, 27) 14 and 27 is pair factor of 378]
• 378/18 = 21 [ 18 × 21 (18, 21) 18 and 21 is pair factor of 378]
• 378/21 = 18 [ 21 × 18 (21, 18) 21 and 18 is pair factor of 378]
• 378/27 = 14 [ 27 × 14 (27, 14) 27 and 14 is pair factor of 378]
• 378/42 = 9 [ 42 × 9 (42, 9) 42 and 9 is pair factor of 378]
• 378/54 = 7 [ 54 × 7 (54, 7) 54 and 7 is pair factor of 378]
• 378/63 = 6 [ 63 × 6 (63, 6) 63 and 6 is pair factor of 378]
• 378/126 = 3 [ 126 × 3 (126, 3) 126 and 3 is pair factor of 378]
• 378/189 = 2 [ 189 × 2 (189, 2) 189 and 2 is pair factor of 378]
• 378/378 = 1 [ 378 × 1 (378, 1) 378 and 1 is pair factor of 378]

As we checked numbers between 1 to 378 that are not leaving any remainder, hence we can say factors of 378 is 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378.

Also note that, in exponential form prime factorization of 378 is written as 21 × 33 × 71 and it is a composite number.

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