Q: What are the prime factors of the number 177,287,157?

 A: 3, 19, 41, 8429

Why are those the prime factors of the number 177,287,157?

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 177,287,157

177,287,157
Factor Arrows
359,095,719
Factor Arrows
319,698,573
Factor Arrows
36,566,191
Factor Arrows
19345,589
Factor Arrows
418,429

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, 19, 41, 8429

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 19 x 41 x 8,429 = 177,287,157

This can also be written as 33 x 191 x 411 x 8,4291 = 177,287,157

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


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