Q: What are the prime factors of the number 177,114,162?

 A: 2, 3, 19, 43, 36131

Why are those the prime factors of the number 177,114,162?

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 177,114,162

177,114,162
Factor Arrows
288,557,081
Factor Arrows
329,519,027
Factor Arrows
191,553,633
Factor Arrows
4336,131

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, 19, 43, 36131

We can check our work by multiplying all of the prime factors together: 2 x 3 x 19 x 43 x 36,131 = 177,114,162

This can also be written as 21 x 31 x 191 x 431 x 36,1311 = 177,114,162

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


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