Q: What are the prime factors of the number 42,103,404?

 A: 2, 3, 7, 167077

Why are those the prime factors of the number 42,103,404?

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 42,103,404

42,103,404
Factor Arrows
221,051,702
Factor Arrows
210,525,851
Factor Arrows
33,508,617
Factor Arrows
31,169,539
Factor Arrows
7167,077

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, 3, 7, 167077

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 7 x 167,077 = 42,103,404

This can also be written as 22 x 32 x 71 x 167,0771 = 42,103,404

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 42,103,404:


Ask a Question