Q: What are the prime factors of the number 164,831,552?

 A: 2, 2575493

Why are those the prime factors of the number 164,831,552?

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 164,831,552

164,831,552
Factor Arrows
282,415,776
Factor Arrows
241,207,888
Factor Arrows
220,603,944
Factor Arrows
210,301,972
Factor Arrows
25,150,986
Factor Arrows
22,575,493

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, 2575493

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 2,575,493 = 164,831,552

This can also be written as 26 x 2,575,4931 = 164,831,552

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


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