Q: What are the prime factors of the number 167,315,400?

 A: 2, 3, 5, 7, 271

Why are those the prime factors of the number 167,315,400?

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 167,315,400

167,315,400
Factor Arrows
283,657,700
Factor Arrows
241,828,850
Factor Arrows
220,914,425
Factor Arrows
36,971,475
Factor Arrows
32,323,825
Factor Arrows
5464,765
Factor Arrows
592,953
Factor Arrows
713,279
Factor Arrows
71,897
Factor Arrows
7271

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, 7, 271

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 5 x 5 x 7 x 7 x 7 x 271 = 167,315,400

This can also be written as 23 x 32 x 52 x 73 x 2711 = 167,315,400

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 167,315,400:


Ask a Question