# Prime factorization of 350

Here you will see step by step solution of prime factorization of 350, how to find factors of 350, you will see all factors of 350, how many factors of 350 has? Factors of 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350, we can see that 350 has 12 factor and sum of all factors is 744.

• All Factors of 350: 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
• Prime Factors of 350: 2 × 5 × 5 × 7
• Prime Factorization of 350: 21 × 52 × 71
• Sum of Factors of 350: 744
• Is 350 prime number: No

### How to find factors of 350 by Division Method?

To find the factors of 350 by division method, we need the find the all numbers between 1 to 350, which divide 350 with 0 remainder, then the number is factor of 350.

### Pair factors of 350

• 350/1 = 350 [ 1 × 350 (1, 350) 1 and 350 is pair factor of 350]
• 350/2 = 175 [ 2 × 175 (2, 175) 2 and 175 is pair factor of 350]
• 350/5 = 70 [ 5 × 70 (5, 70) 5 and 70 is pair factor of 350]
• 350/7 = 50 [ 7 × 50 (7, 50) 7 and 50 is pair factor of 350]
• 350/10 = 35 [ 10 × 35 (10, 35) 10 and 35 is pair factor of 350]
• 350/14 = 25 [ 14 × 25 (14, 25) 14 and 25 is pair factor of 350]
• 350/25 = 14 [ 25 × 14 (25, 14) 25 and 14 is pair factor of 350]
• 350/35 = 10 [ 35 × 10 (35, 10) 35 and 10 is pair factor of 350]
• 350/50 = 7 [ 50 × 7 (50, 7) 50 and 7 is pair factor of 350]
• 350/70 = 5 [ 70 × 5 (70, 5) 70 and 5 is pair factor of 350]
• 350/175 = 2 [ 175 × 2 (175, 2) 175 and 2 is pair factor of 350]
• 350/350 = 1 [ 350 × 1 (350, 1) 350 and 1 is pair factor of 350]

As we checked numbers between 1 to 350 that are not leaving any remainder, hence we can say factors of 350 is 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350.

Also note that, in exponential form prime factorization of 350 is written as 21 × 52 × 71 and it is a composite number.

#### Prime Factorization Calculator

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