Q: What are the prime factors of the number 152,300,480?

 A: 2, 5, 23, 20693

Why are those the prime factors of the number 152,300,480?

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 152,300,480

152,300,480
Factor Arrows
276,150,240
Factor Arrows
238,075,120
Factor Arrows
219,037,560
Factor Arrows
29,518,780
Factor Arrows
24,759,390
Factor Arrows
22,379,695
Factor Arrows
5475,939
Factor Arrows
2320,693

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, 23, 20693

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 5 x 23 x 20,693 = 152,300,480

This can also be written as 26 x 51 x 231 x 20,6931 = 152,300,480

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 152,300,480:


Ask a Question