Q: What are the prime factors of the number 178,465,130?

 A: 2, 5, 29, 227, 2711

Why are those the prime factors of the number 178,465,130?

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 178,465,130

178,465,130
Factor Arrows
289,232,565
Factor Arrows
517,846,513
Factor Arrows
29615,397
Factor Arrows
2272,711

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, 5, 29, 227, 2711

We can check our work by multiplying all of the prime factors together: 2 x 5 x 29 x 227 x 2,711 = 178,465,130

This can also be written as 21 x 51 x 291 x 2271 x 2,7111 = 178,465,130

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


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