Q: What are the prime factors of the number 52,183,332?

 A: 2, 3, 483179

Why are those the prime factors of the number 52,183,332?

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 52,183,332

52,183,332
Factor Arrows
226,091,666
Factor Arrows
213,045,833
Factor Arrows
34,348,611
Factor Arrows
31,449,537
Factor Arrows
3483,179

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, 483179

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 483,179 = 52,183,332

This can also be written as 22 x 33 x 483,1791 = 52,183,332

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


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