Q: What are the prime factors of the number 64,246,304?

 A: 2, 2007697

Why are those the prime factors of the number 64,246,304?

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 64,246,304

64,246,304
Factor Arrows
232,123,152
Factor Arrows
216,061,576
Factor Arrows
28,030,788
Factor Arrows
24,015,394
Factor Arrows
22,007,697

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, 2007697

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2,007,697 = 64,246,304

This can also be written as 25 x 2,007,6971 = 64,246,304

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


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