Prime Factorization of 427

What is the Prime Factorization of 427?

Answer: Prime Factors of 427: 7, 61

Explanation of number 427 Prime Factorization

Prime Factorization of 427 it is expressing 427 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 427.

Since number 427 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 427, we have to iteratively divide 427 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 427:

The smallest Prime Number which can divide 427 without a remainder is 7. So the first calculation step would look like:

427 ÷ 7 = 61

Now we repeat this action until the result equals 1:

61 ÷ 61 = 1

Now we have all the Prime Factors for number 427. It is: 7, 61

Prime Factor Tree of 427

We may also express the prime factorization of 427 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 427? (The answer is: 7, 61). Pick the number for factorization (e.g. '427'). 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 × 103
7, 59
2 × 32 × 23
5, 83
25 × 13
4173, 139
2, 11, 19
419
22 × 3 × 5 × 7
421
2, 211
32 × 47
23 × 53
52 × 17
2, 3, 71
7, 61
22 × 107
3, 11, 13
2, 5, 43
431
24 × 33
433
2, 7, 31
3, 5, 29
22 × 109
19, 23
2, 3, 73
439
23 × 5 × 11
32 × 72

FAQ

What is the Prime Factorization of 427?

Prime Factors of 427: 7, 61

How many prime factors does 427 have?

Number 427 has 2 Prime Factors