Q: What are the prime factors of the number 102,065,265?

 A: 3, 5, 252013

Why are those the prime factors of the number 102,065,265?

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 102,065,265

102,065,265
Factor Arrows
334,021,755
Factor Arrows
311,340,585
Factor Arrows
33,780,195
Factor Arrows
31,260,065
Factor Arrows
5252,013

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, 5, 252013

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 5 x 252,013 = 102,065,265

This can also be written as 34 x 51 x 252,0131 = 102,065,265

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 102,065,265:


Ask a Question