Q: What are the prime factors of the number 426,015,668?

 A: 2, 13, 131, 62539

Why are those the prime factors of the number 426,015,668?

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 426,015,668

426,015,668
Factor Arrows
2213,007,834
Factor Arrows
2106,503,917
Factor Arrows
138,192,609
Factor Arrows
13162,539

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, 13, 131, 62539

We can check our work by multiplying all of the prime factors together: 2 x 2 x 13 x 131 x 62,539 = 426,015,668

This can also be written as 22 x 131 x 1311 x 62,5391 = 426,015,668

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


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