Q: What are the prime factors of the number 421,326,436?

 A: 2, 17, 1877, 3301

Why are those the prime factors of the number 421,326,436?

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 421,326,436

421,326,436
Factor Arrows
2210,663,218
Factor Arrows
2105,331,609
Factor Arrows
176,195,977
Factor Arrows
1,8773,301

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, 17, 1877, 3301

We can check our work by multiplying all of the prime factors together: 2 x 2 x 17 x 1,877 x 3,301 = 421,326,436

This can also be written as 22 x 171 x 1,8771 x 3,3011 = 421,326,436

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 421,326,436:


Ask a Question