Q: What are the prime factors of the number 177,053,050?

 A: 2, 5, 131, 27031

Why are those the prime factors of the number 177,053,050?

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 177,053,050

177,053,050
Factor Arrows
288,526,525
Factor Arrows
517,705,305
Factor Arrows
53,541,061
Factor Arrows
13127,031

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, 5, 131, 27031

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 131 x 27,031 = 177,053,050

This can also be written as 21 x 52 x 1311 x 27,0311 = 177,053,050

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


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