Q: What are the prime factors of the number 236,300,708?

 A: 2, 7, 73, 193, 599

Why are those the prime factors of the number 236,300,708?

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 236,300,708

236,300,708
Factor Arrows
2118,150,354
Factor Arrows
259,075,177
Factor Arrows
78,439,311
Factor Arrows
73115,607
Factor Arrows
193599

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, 73, 193, 599

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 73 x 193 x 599 = 236,300,708

This can also be written as 22 x 71 x 731 x 1931 x 5991 = 236,300,708

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 236,300,708:


Ask a Question