Prime Factorization of 370

What is the Prime Factorization of 370?

Answer: Prime Factors of 370: 2, 5, 37

Explanation of number 370 Prime Factorization

Prime Factorization of 370 it is expressing 370 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 370.

Since number 370 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 370, we have to iteratively divide 370 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 370:

The smallest Prime Number which can divide 370 without a remainder is 2. So the first calculation step would look like:

370 ÷ 2 = 185

Now we repeat this action until the result equals 1:

185 ÷ 5 = 37

37 ÷ 37 = 1

Now we have all the Prime Factors for number 370. It is: 2, 5, 37

Prime Factor Tree of 370

We may also express the prime factorization of 370 as a Factor Tree:

See Also

About "Prime Factorization" Calculator

This calculator will perform a Prime Factorization of any given number and will show all its Prime Factors. For example, it can help you find out what is the Prime Factorization of 370? (The answer is: 2, 5, 37). Pick the number for factorization (e.g. '370'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

Prime Factorization Table

NumberPrime Factors
3555, 71
22 × 89
3, 7, 17
2, 179
359
23 × 32 × 5
192
2, 181
3 × 112
22 × 7 × 13
5, 73
2, 3, 61
367
24 × 23
32 × 41
2, 5, 37
7, 53
22 × 3 × 31
373
2, 11, 17
3 × 53
23 × 47
13, 29
2 × 33 × 7
379
22 × 5 × 19
3, 127
2, 191
383
27 × 3

FAQ

What is the Prime Factorization of 370?

Prime Factors of 370: 2, 5, 37

How many prime factors does 370 have?

Number 370 has 3 Prime Factors