Q: What are the prime factors of the number 54,501,000?

 A: 2, 3, 5, 37, 491

Why are those the prime factors of the number 54,501,000?

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 54,501,000

54,501,000
Factor Arrows
227,250,500
Factor Arrows
213,625,250
Factor Arrows
26,812,625
Factor Arrows
32,270,875
Factor Arrows
5454,175
Factor Arrows
590,835
Factor Arrows
518,167
Factor Arrows
37491

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, 37, 491

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 5 x 5 x 37 x 491 = 54,501,000

This can also be written as 23 x 31 x 53 x 371 x 4911 = 54,501,000

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 54,501,000:


Ask a Question