Q: What are the prime factors of the number 177,371,048?

 A: 2, 2339, 9479

Why are those the prime factors of the number 177,371,048?

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 177,371,048

177,371,048
Factor Arrows
288,685,524
Factor Arrows
244,342,762
Factor Arrows
222,171,381
Factor Arrows
2,3399,479

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, 2339, 9479

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2,339 x 9,479 = 177,371,048

This can also be written as 23 x 2,3391 x 9,4791 = 177,371,048

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


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