Prime Factorization of 62

What is the Prime Factorization of 62?

Answer: Prime Factors of 62: 2, 31

Explanation of number 62 Prime Factorization

Prime Factorization of 62 it is expressing 62 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 62.

Since number 62 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 62, we have to iteratively divide 62 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 62:

The smallest Prime Number which can divide 62 without a remainder is 2. So the first calculation step would look like:

62 ÷ 2 = 31

Now we repeat this action until the result equals 1:

31 ÷ 31 = 1

Now we have all the Prime Factors for number 62. It is: 2, 31

Prime Factor Tree of 62

We may also express the prime factorization of 62 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 62? (The answer is: 2, 31). Pick the number for factorization (e.g. '62'). 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
47
24 × 3
72
2 × 52
3, 17
22 × 13
53
2 × 33
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

FAQ

What is the Prime Factorization of 62?

Prime Factors of 62: 2, 31

How many prime factors does 62 have?

Number 62 has 2 Prime Factors