Q: What are the prime factors of the number 530,133,536?

 A: 2, 1367, 12119

Why are those the prime factors of the number 530,133,536?

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 530,133,536

530,133,536
Factor Arrows
2265,066,768
Factor Arrows
2132,533,384
Factor Arrows
266,266,692
Factor Arrows
233,133,346
Factor Arrows
216,566,673
Factor Arrows
1,36712,119

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, 1367, 12119

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 1,367 x 12,119 = 530,133,536

This can also be written as 25 x 1,3671 x 12,1191 = 530,133,536

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


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