Q: What are the prime factors of the number 21,142,836?

 A: 2, 3, 11, 13, 37

Why are those the prime factors of the number 21,142,836?

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 21,142,836

21,142,836
Factor Arrows
210,571,418
Factor Arrows
25,285,709
Factor Arrows
31,761,903
Factor Arrows
3587,301
Factor Arrows
3195,767
Factor Arrows
1117,797
Factor Arrows
131,369
Factor Arrows
3737

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, 3, 11, 13, 37

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 11 x 13 x 37 x 37 = 21,142,836

This can also be written as 22 x 33 x 111 x 131 x 372 = 21,142,836

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


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