Q: What are the prime factors of the number 713,884,800?

 A: 2, 3, 5, 74363

Why are those the prime factors of the number 713,884,800?

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 713,884,800

713,884,800
Factor Arrows
2356,942,400
Factor Arrows
2178,471,200
Factor Arrows
289,235,600
Factor Arrows
244,617,800
Factor Arrows
222,308,900
Factor Arrows
211,154,450
Factor Arrows
25,577,225
Factor Arrows
31,859,075
Factor Arrows
5371,815
Factor Arrows
574,363

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, 3, 5, 74363

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 3 x 5 x 5 x 74,363 = 713,884,800

This can also be written as 27 x 31 x 52 x 74,3631 = 713,884,800

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 713,884,800:


Ask a Question