Q: What are the prime factors of the number 426,367,260?

 A: 2, 3, 5, 11, 179, 401

Why are those the prime factors of the number 426,367,260?

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 426,367,260

426,367,260
Factor Arrows
2213,183,630
Factor Arrows
2106,591,815
Factor Arrows
335,530,605
Factor Arrows
311,843,535
Factor Arrows
33,947,845
Factor Arrows
5789,569
Factor Arrows
1171,779
Factor Arrows
179401

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, 5, 11, 179, 401

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 5 x 11 x 179 x 401 = 426,367,260

This can also be written as 22 x 33 x 51 x 111 x 1791 x 4011 = 426,367,260

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


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