Q: What are the prime factors of the number 555,020,032?

 A: 2, 7, 31, 97, 103

Why are those the prime factors of the number 555,020,032?

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 555,020,032

555,020,032
Factor Arrows
2277,510,016
Factor Arrows
2138,755,008
Factor Arrows
269,377,504
Factor Arrows
234,688,752
Factor Arrows
217,344,376
Factor Arrows
28,672,188
Factor Arrows
24,336,094
Factor Arrows
22,168,047
Factor Arrows
7309,721
Factor Arrows
319,991
Factor Arrows
97103

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, 97, 103

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 31 x 97 x 103 = 555,020,032

This can also be written as 28 x 71 x 311 x 971 x 1031 = 555,020,032

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 555,020,032:


Ask a Question