Q: What are the prime factors of the number 21,051,056?

 A: 2, 13, 101207

Why are those the prime factors of the number 21,051,056?

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 21,051,056

21,051,056
Factor Arrows
210,525,528
Factor Arrows
25,262,764
Factor Arrows
22,631,382
Factor Arrows
21,315,691
Factor Arrows
13101,207

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, 13, 101207

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 13 x 101,207 = 21,051,056

This can also be written as 24 x 131 x 101,2071 = 21,051,056

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


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