Q: What are the prime factors of the number 2,988,736?

 A: 2, 17, 41, 67

Why are those the prime factors of the number 2,988,736?

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 2,988,736

2,988,736
Factor Arrows
21,494,368
Factor Arrows
2747,184
Factor Arrows
2373,592
Factor Arrows
2186,796
Factor Arrows
293,398
Factor Arrows
246,699
Factor Arrows
172,747
Factor Arrows
4167

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, 17, 41, 67

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 17 x 41 x 67 = 2,988,736

This can also be written as 26 x 171 x 411 x 671 = 2,988,736

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


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