Prime Factorization of 35

What is the Prime Factorization of 35?

Answer: Prime Factors of 35: 5, 7

Explanation of number 35 Prime Factorization

Prime Factorization of 35 it is expressing 35 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 35.

Since number 35 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 35, we have to iteratively divide 35 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 35:

The smallest Prime Number which can divide 35 without a remainder is 5. So the first calculation step would look like:

35 ÷ 5 = 7

Now we repeat this action until the result equals 1:

7 ÷ 7 = 1

Now we have all the Prime Factors for number 35. It is: 5, 7

Prime Factor Tree of 35

We may also express the prime factorization of 35 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 35? (The answer is: 5, 7). Pick the number for factorization (e.g. '35'). 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
22 × 5
3, 7
2, 11
23
23 × 3
52
2, 13
33
22 × 7
29
2, 3, 5
31
25
3, 11
2, 17
5, 7
22 × 32
37
2, 19
3, 13
23 × 5
41
2, 3, 7
43
22 × 11
32 × 5
2, 23
47
24 × 3
72

FAQ

What is the Prime Factorization of 35?

Prime Factors of 35: 5, 7

How many prime factors does 35 have?

Number 35 has 2 Prime Factors