Q: What are the prime factors of the number 177,044,436?

 A: 2, 3, 4917901

Why are those the prime factors of the number 177,044,436?

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 177,044,436

177,044,436
Factor Arrows
288,522,218
Factor Arrows
244,261,109
Factor Arrows
314,753,703
Factor Arrows
34,917,901

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, 4917901

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 4,917,901 = 177,044,436

This can also be written as 22 x 32 x 4,917,9011 = 177,044,436

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


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