Q: What are the prime factors of the number 176,511,000?

 A: 2, 3, 5, 17, 3461

Why are those the prime factors of the number 176,511,000?

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 176,511,000

176,511,000
Factor Arrows
288,255,500
Factor Arrows
244,127,750
Factor Arrows
222,063,875
Factor Arrows
37,354,625
Factor Arrows
51,470,925
Factor Arrows
5294,185
Factor Arrows
558,837
Factor Arrows
173,461

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, 5, 17, 3461

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 5 x 5 x 17 x 3,461 = 176,511,000

This can also be written as 23 x 31 x 53 x 171 x 3,4611 = 176,511,000

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


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