Q: What are the prime factors of the number 177,423,702?

 A: 2, 3, 23, 1285679

Why are those the prime factors of the number 177,423,702?

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 177,423,702

177,423,702
Factor Arrows
288,711,851
Factor Arrows
329,570,617
Factor Arrows
231,285,679

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, 23, 1285679

We can check our work by multiplying all of the prime factors together: 2 x 3 x 23 x 1,285,679 = 177,423,702

This can also be written as 21 x 31 x 231 x 1,285,6791 = 177,423,702

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


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