Q: What are the prime factors of the number 154,530,510?

 A: 2, 3, 5, 17, 53, 5717

Why are those the prime factors of the number 154,530,510?

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 154,530,510

154,530,510
Factor Arrows
277,265,255
Factor Arrows
325,755,085
Factor Arrows
55,151,017
Factor Arrows
17303,001
Factor Arrows
535,717

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, 17, 53, 5717

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 17 x 53 x 5,717 = 154,530,510

This can also be written as 21 x 31 x 51 x 171 x 531 x 5,7171 = 154,530,510

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 154,530,510:


Ask a Question