Q: What are the prime factors of the number 52,346,664?

 A: 2, 3, 79, 9203

Why are those the prime factors of the number 52,346,664?

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 52,346,664

52,346,664
Factor Arrows
226,173,332
Factor Arrows
213,086,666
Factor Arrows
26,543,333
Factor Arrows
32,181,111
Factor Arrows
3727,037
Factor Arrows
799,203

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, 79, 9203

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 79 x 9,203 = 52,346,664

This can also be written as 23 x 32 x 791 x 9,2031 = 52,346,664

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


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