Q: What are the prime factors of the number 164,136,352?

 A: 2, 5129261

Why are those the prime factors of the number 164,136,352?

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 164,136,352

164,136,352
Factor Arrows
282,068,176
Factor Arrows
241,034,088
Factor Arrows
220,517,044
Factor Arrows
210,258,522
Factor Arrows
25,129,261

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, 5129261

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5,129,261 = 164,136,352

This can also be written as 25 x 5,129,2611 = 164,136,352

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


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