Q: What are the prime factors of the number 64,707,008?

 A: 2, 19, 127, 419

Why are those the prime factors of the number 64,707,008?

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 64,707,008

64,707,008
Factor Arrows
232,353,504
Factor Arrows
216,176,752
Factor Arrows
28,088,376
Factor Arrows
24,044,188
Factor Arrows
22,022,094
Factor Arrows
21,011,047
Factor Arrows
1953,213
Factor Arrows
127419

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, 19, 127, 419

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 19 x 127 x 419 = 64,707,008

This can also be written as 26 x 191 x 1271 x 4191 = 64,707,008

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


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