Q: What are the prime factors of the number 51,610,500?

 A: 2, 3, 5, 3823

Why are those the prime factors of the number 51,610,500?

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 51,610,500

51,610,500
Factor Arrows
225,805,250
Factor Arrows
212,902,625
Factor Arrows
34,300,875
Factor Arrows
31,433,625
Factor Arrows
3477,875
Factor Arrows
595,575
Factor Arrows
519,115
Factor Arrows
53,823

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, 3823

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 5 x 5 x 5 x 3,823 = 51,610,500

This can also be written as 22 x 33 x 53 x 3,8231 = 51,610,500

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 51,610,500:


Ask a Question