Q: What are the prime factors of the number 64,533,824?

 A: 2, 239, 4219

Why are those the prime factors of the number 64,533,824?

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 64,533,824

64,533,824
Factor Arrows
232,266,912
Factor Arrows
216,133,456
Factor Arrows
28,066,728
Factor Arrows
24,033,364
Factor Arrows
22,016,682
Factor Arrows
21,008,341
Factor Arrows
2394,219

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, 239, 4219

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 239 x 4,219 = 64,533,824

This can also be written as 26 x 2391 x 4,2191 = 64,533,824

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


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