Q: What are the prime factors of the number 177,066,424?

 A: 2, 17, 1301959

Why are those the prime factors of the number 177,066,424?

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 177,066,424

177,066,424
Factor Arrows
288,533,212
Factor Arrows
244,266,606
Factor Arrows
222,133,303
Factor Arrows
171,301,959

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, 17, 1301959

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 17 x 1,301,959 = 177,066,424

This can also be written as 23 x 171 x 1,301,9591 = 177,066,424

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


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