Q: What are the prime factors of the number 155,011,328?

 A: 2, 107, 5659

Why are those the prime factors of the number 155,011,328?

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 155,011,328

155,011,328
Factor Arrows
277,505,664
Factor Arrows
238,752,832
Factor Arrows
219,376,416
Factor Arrows
29,688,208
Factor Arrows
24,844,104
Factor Arrows
22,422,052
Factor Arrows
21,211,026
Factor Arrows
2605,513
Factor Arrows
1075,659

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, 107, 5659

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 2 x 107 x 5,659 = 155,011,328

This can also be written as 28 x 1071 x 5,6591 = 155,011,328

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 155,011,328:


Ask a Question