Prime Factorization of 61

What is the Prime Factorization of 61?

Answer: Prime Factors of 61: 61

Explanation of number 61 Prime Factorization

Prime Factorization of 61 it is expressing 61 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 61.

Since number 61 is Prime number there is no way to factorize it. 61 is the only Prime factor of itself.

The smallest Prime Number which can divide 61 without a remainder is 61. So the first calculation step would look like:

61 ÷ 61 = 1

Now we have all the Prime Factors for number 61. It is: 61

Prime Factorization Table

NumberPrime Factors
2, 23
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

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 61? (The answer is: 61). Pick the number for factorization (e.g. '61'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

FAQ

What is the Prime Factorization of 61?

Prime Factors of 61: 61

How many prime factors does 61 have?

Number 61 has 1 Prime Factors