Q: What are the prime factors of the number 158,321,680?

 A: 2, 5, 11, 17, 19, 557

Why are those the prime factors of the number 158,321,680?

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 158,321,680

158,321,680
Factor Arrows
279,160,840
Factor Arrows
239,580,420
Factor Arrows
219,790,210
Factor Arrows
29,895,105
Factor Arrows
51,979,021
Factor Arrows
11179,911
Factor Arrows
1710,583
Factor Arrows
19557

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, 5, 11, 17, 19, 557

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 11 x 17 x 19 x 557 = 158,321,680

This can also be written as 24 x 51 x 111 x 171 x 191 x 5571 = 158,321,680

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 158,321,680:


Ask a Question