Q: What are the prime factors of the number 52,916,784?

 A: 2, 3, 17, 64849

Why are those the prime factors of the number 52,916,784?

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 52,916,784

52,916,784
Factor Arrows
226,458,392
Factor Arrows
213,229,196
Factor Arrows
26,614,598
Factor Arrows
23,307,299
Factor Arrows
31,102,433
Factor Arrows
1764,849

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, 17, 64849

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 17 x 64,849 = 52,916,784

This can also be written as 24 x 31 x 171 x 64,8491 = 52,916,784

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


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