Q: What are the prime factors of the number 530,874,336?

 A: 2, 3, 5529941

Why are those the prime factors of the number 530,874,336?

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 530,874,336

530,874,336
Factor Arrows
2265,437,168
Factor Arrows
2132,718,584
Factor Arrows
266,359,292
Factor Arrows
233,179,646
Factor Arrows
216,589,823
Factor Arrows
35,529,941

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, 5529941

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 5,529,941 = 530,874,336

This can also be written as 25 x 31 x 5,529,9411 = 530,874,336

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


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