Q: What are the prime factors of the number 525,262,260?

 A: 2, 3, 5, 17, 71, 7253

Why are those the prime factors of the number 525,262,260?

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 525,262,260

525,262,260
Factor Arrows
2262,631,130
Factor Arrows
2131,315,565
Factor Arrows
343,771,855
Factor Arrows
58,754,371
Factor Arrows
17514,963
Factor Arrows
717,253

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, 71, 7253

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 17 x 71 x 7,253 = 525,262,260

This can also be written as 22 x 31 x 51 x 171 x 711 x 7,2531 = 525,262,260

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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