Q: What are the prime factors of the number 166,651,424?

 A: 2, 439, 11863

Why are those the prime factors of the number 166,651,424?

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 166,651,424

166,651,424
Factor Arrows
283,325,712
Factor Arrows
241,662,856
Factor Arrows
220,831,428
Factor Arrows
210,415,714
Factor Arrows
25,207,857
Factor Arrows
43911,863

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, 439, 11863

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 439 x 11,863 = 166,651,424

This can also be written as 25 x 4391 x 11,8631 = 166,651,424

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


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