Q: What are the prime factors of the number 1,172,856?

 A: 2, 3, 48869

Why are those the prime factors of the number 1,172,856?

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 1,172,856

1,172,856
Factor Arrows
2586,428
Factor Arrows
2293,214
Factor Arrows
2146,607
Factor Arrows
348,869

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, 48869

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 48,869 = 1,172,856

This can also be written as 23 x 31 x 48,8691 = 1,172,856

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


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