Q: What are the prime factors of the number 21,500,145?

 A: 3, 5, 37, 349

Why are those the prime factors of the number 21,500,145?

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 21,500,145

21,500,145
Factor Arrows
37,166,715
Factor Arrows
32,388,905
Factor Arrows
5477,781
Factor Arrows
3712,913
Factor Arrows
37349

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:

3, 5, 37, 349

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 37 x 37 x 349 = 21,500,145

This can also be written as 32 x 51 x 372 x 3491 = 21,500,145

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


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