Q: What are the prime factors of the number 21,551,068?

 A: 2, 7, 11, 6361

Why are those the prime factors of the number 21,551,068?

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 21,551,068

21,551,068
Factor Arrows
210,775,534
Factor Arrows
25,387,767
Factor Arrows
7769,681
Factor Arrows
1169,971
Factor Arrows
116,361

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, 6361

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 11 x 11 x 6,361 = 21,551,068

This can also be written as 22 x 71 x 112 x 6,3611 = 21,551,068

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


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