Q: What are the prime factors of the number 530,253,102?

 A: 2, 3, 19, 4651343

Why are those the prime factors of the number 530,253,102?

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 530,253,102

530,253,102
Factor Arrows
2265,126,551
Factor Arrows
388,375,517
Factor Arrows
194,651,343

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, 19, 4651343

We can check our work by multiplying all of the prime factors together: 2 x 3 x 19 x 4,651,343 = 530,253,102

This can also be written as 21 x 31 x 191 x 4,651,3431 = 530,253,102

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


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