Q: What are the prime factors of the number 525,520,224?

 A: 2, 3, 202747

Why are those the prime factors of the number 525,520,224?

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 525,520,224

525,520,224
Factor Arrows
2262,760,112
Factor Arrows
2131,380,056
Factor Arrows
265,690,028
Factor Arrows
232,845,014
Factor Arrows
216,422,507
Factor Arrows
35,474,169
Factor Arrows
31,824,723
Factor Arrows
3608,241
Factor Arrows
3202,747

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, 202747

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 202,747 = 525,520,224

This can also be written as 25 x 34 x 202,7471 = 525,520,224

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 525,520,224:


Ask a Question