Q: What are the prime factors of the number 46,438?

 A: 2, 7, 31, 107

Why are those the prime factors of the number 46,438?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 46,438

46,438
Factor Arrows
223,219
Factor Arrows
73,317
Factor Arrows
31107

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 7, 31, 107

We can check our work by multiplying all of the prime factors together: 2 x 7 x 31 x 107 = 46,438

This can also be written as 21 x 71 x 311 x 1071 = 46,438

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 46,438:


Ask a Question