Prime Factorization of 70

What is the Prime Factorization of 70?

Answer: Prime Factors of 70: 2, 5, 7

Explanation of number 70 Prime Factorization

Prime Factorization of 70 it is expressing 70 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 70.

Since number 70 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 70, we have to iteratively divide 70 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 70:

The smallest Prime Number which can divide 70 without a remainder is 2. So the first calculation step would look like:

70 ÷ 2 = 35

Now we repeat this action until the result equals 1:

35 ÷ 5 = 7

7 ÷ 7 = 1

Now we have all the Prime Factors for number 70. It is: 2, 5, 7

Prime Factor Tree of 70

We may also express the prime factorization of 70 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 70? (The answer is: 2, 5, 7). Pick the number for factorization (e.g. '70'). 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
5, 11
23 × 7
3, 19
2, 29
59
22 × 3 × 5
61
2, 31
32 × 7
26
5, 13
2, 3, 11
67
22 × 17
3, 23
2, 5, 7
71
23 × 32
73
2, 37
3 × 52
22 × 19
7, 11
2, 3, 13
79
24 × 5
34
2, 41
83
22 × 3 × 7

FAQ

What is the Prime Factorization of 70?

Prime Factors of 70: 2, 5, 7

How many prime factors does 70 have?

Number 70 has 3 Prime Factors