Q: What are the prime factors of the number 510,152,300?

 A: 2, 5, 7, 37, 19697

Why are those the prime factors of the number 510,152,300?

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 510,152,300

510,152,300
Factor Arrows
2255,076,150
Factor Arrows
2127,538,075
Factor Arrows
525,507,615
Factor Arrows
55,101,523
Factor Arrows
7728,789
Factor Arrows
3719,697

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, 7, 37, 19697

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 7 x 37 x 19,697 = 510,152,300

This can also be written as 22 x 52 x 71 x 371 x 19,6971 = 510,152,300

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 510,152,300:


Ask a Question