Q: What are the prime factors of the number 52,164,177?

 A: 3, 13, 17, 19, 41, 101

Why are those the prime factors of the number 52,164,177?

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 52,164,177

52,164,177
Factor Arrows
317,388,059
Factor Arrows
131,337,543
Factor Arrows
1778,679
Factor Arrows
194,141
Factor Arrows
41101

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:

3, 13, 17, 19, 41, 101

We can check our work by multiplying all of the prime factors together: 3 x 13 x 17 x 19 x 41 x 101 = 52,164,177

This can also be written as 31 x 131 x 171 x 191 x 411 x 1011 = 52,164,177

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 52,164,177:


Ask a Question