Q: What are the prime factors of the number 11,885,670?

 A: 2, 3, 5, 44021

Why are those the prime factors of the number 11,885,670?

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 11,885,670

11,885,670
Factor Arrows
25,942,835
Factor Arrows
31,980,945
Factor Arrows
3660,315
Factor Arrows
3220,105
Factor Arrows
544,021

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, 5, 44021

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 5 x 44,021 = 11,885,670

This can also be written as 21 x 33 x 51 x 44,0211 = 11,885,670

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


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