Q: What are the prime factors of the number 50,746,955?

 A: 5, 7, 17, 29, 173

Why are those the prime factors of the number 50,746,955?

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 50,746,955

50,746,955
Factor Arrows
510,149,391
Factor Arrows
71,449,913
Factor Arrows
1785,289
Factor Arrows
175,017
Factor Arrows
29173

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:

5, 7, 17, 29, 173

We can check our work by multiplying all of the prime factors together: 5 x 7 x 17 x 17 x 29 x 173 = 50,746,955

This can also be written as 51 x 71 x 172 x 291 x 1731 = 50,746,955

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 50,746,955:


Ask a Question