Q: What are the prime factors of the number 526,210,016?

 A: 2, 19, 865477

Why are those the prime factors of the number 526,210,016?

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 526,210,016

526,210,016
Factor Arrows
2263,105,008
Factor Arrows
2131,552,504
Factor Arrows
265,776,252
Factor Arrows
232,888,126
Factor Arrows
216,444,063
Factor Arrows
19865,477

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, 19, 865477

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 19 x 865,477 = 526,210,016

This can also be written as 25 x 191 x 865,4771 = 526,210,016

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


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