Q: What are the prime factors of the number 21,130,016?

 A: 2, 163, 4051

Why are those the prime factors of the number 21,130,016?

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 21,130,016

21,130,016
Factor Arrows
210,565,008
Factor Arrows
25,282,504
Factor Arrows
22,641,252
Factor Arrows
21,320,626
Factor Arrows
2660,313
Factor Arrows
1634,051

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, 163, 4051

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 163 x 4,051 = 21,130,016

This can also be written as 25 x 1631 x 4,0511 = 21,130,016

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


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