Q: What are the prime factors of the number 177,805,557?

 A: 3, 1291, 5101

Why are those the prime factors of the number 177,805,557?

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 177,805,557

177,805,557
Factor Arrows
359,268,519
Factor Arrows
319,756,173
Factor Arrows
36,585,391
Factor Arrows
1,2915,101

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:

3, 1291, 5101

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 1,291 x 5,101 = 177,805,557

This can also be written as 33 x 1,2911 x 5,1011 = 177,805,557

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


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