Q: What are the prime factors of the number 52,566,784?

 A: 2, 205339

Why are those the prime factors of the number 52,566,784?

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 52,566,784

52,566,784
Factor Arrows
226,283,392
Factor Arrows
213,141,696
Factor Arrows
26,570,848
Factor Arrows
23,285,424
Factor Arrows
21,642,712
Factor Arrows
2821,356
Factor Arrows
2410,678
Factor Arrows
2205,339

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, 205339

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 2 x 2 x 205,339 = 52,566,784

This can also be written as 28 x 205,3391 = 52,566,784

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


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