Q: What are the prime factors of the number 176,610,728?

 A: 2, 7, 3153763

Why are those the prime factors of the number 176,610,728?

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 176,610,728

176,610,728
Factor Arrows
288,305,364
Factor Arrows
244,152,682
Factor Arrows
222,076,341
Factor Arrows
73,153,763

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, 7, 3153763

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 3,153,763 = 176,610,728

This can also be written as 23 x 71 x 3,153,7631 = 176,610,728

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


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