Q: What are the prime factors of the number 64,647,700?

 A: 2, 5, 13, 223

Why are those the prime factors of the number 64,647,700?

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 64,647,700

64,647,700
Factor Arrows
232,323,850
Factor Arrows
216,161,925
Factor Arrows
53,232,385
Factor Arrows
5646,477
Factor Arrows
1349,729
Factor Arrows
223223

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, 5, 13, 223

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 13 x 223 x 223 = 64,647,700

This can also be written as 22 x 52 x 131 x 2232 = 64,647,700

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


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