Q: What are the prime factors of the number 64,026,402?

 A: 2, 3, 11, 73, 97, 137

Why are those the prime factors of the number 64,026,402?

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 64,026,402

64,026,402
Factor Arrows
232,013,201
Factor Arrows
310,671,067
Factor Arrows
11970,097
Factor Arrows
7313,289
Factor Arrows
97137

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, 11, 73, 97, 137

We can check our work by multiplying all of the prime factors together: 2 x 3 x 11 x 73 x 97 x 137 = 64,026,402

This can also be written as 21 x 31 x 111 x 731 x 971 x 1371 = 64,026,402

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


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