Q: What are the prime factors of the number 426,060,052?

 A: 2, 11, 17, 569599

Why are those the prime factors of the number 426,060,052?

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 426,060,052

426,060,052
Factor Arrows
2213,030,026
Factor Arrows
2106,515,013
Factor Arrows
119,683,183
Factor Arrows
17569,599

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, 11, 17, 569599

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 17 x 569,599 = 426,060,052

This can also be written as 22 x 111 x 171 x 569,5991 = 426,060,052

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


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