Q: What are the prime factors of the number 20,871,368?

 A: 2, 7, 59, 6317

Why are those the prime factors of the number 20,871,368?

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 20,871,368

20,871,368
Factor Arrows
210,435,684
Factor Arrows
25,217,842
Factor Arrows
22,608,921
Factor Arrows
7372,703
Factor Arrows
596,317

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, 59, 6317

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 59 x 6,317 = 20,871,368

This can also be written as 23 x 71 x 591 x 6,3171 = 20,871,368

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


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