Q: What are the prime factors of the number 36,042,380?

 A: 2, 5, 11, 17, 23, 419

Why are those the prime factors of the number 36,042,380?

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 36,042,380

36,042,380
Factor Arrows
218,021,190
Factor Arrows
29,010,595
Factor Arrows
51,802,119
Factor Arrows
11163,829
Factor Arrows
179,637
Factor Arrows
23419

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, 5, 11, 17, 23, 419

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 11 x 17 x 23 x 419 = 36,042,380

This can also be written as 22 x 51 x 111 x 171 x 231 x 4191 = 36,042,380

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


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