Q: What are the prime factors of the number 178,140,886?

 A: 2, 7, 11, 467, 2477

Why are those the prime factors of the number 178,140,886?

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 178,140,886

178,140,886
Factor Arrows
289,070,443
Factor Arrows
712,724,349
Factor Arrows
111,156,759
Factor Arrows
4672,477

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, 11, 467, 2477

We can check our work by multiplying all of the prime factors together: 2 x 7 x 11 x 467 x 2,477 = 178,140,886

This can also be written as 21 x 71 x 111 x 4671 x 2,4771 = 178,140,886

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


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