Q: What are the prime factors of the number 27,922,384?

 A: 2, 7, 61, 67

Why are those the prime factors of the number 27,922,384?

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 27,922,384

27,922,384
Factor Arrows
213,961,192
Factor Arrows
26,980,596
Factor Arrows
23,490,298
Factor Arrows
21,745,149
Factor Arrows
7249,307
Factor Arrows
614,087
Factor Arrows
6167

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, 61, 67

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 61 x 61 x 67 = 27,922,384

This can also be written as 24 x 71 x 612 x 671 = 27,922,384

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


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