Q: What are the prime factors of the number 20,066,358?

 A: 2, 3, 13, 17, 37, 409

Why are those the prime factors of the number 20,066,358?

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 20,066,358

20,066,358
Factor Arrows
210,033,179
Factor Arrows
33,344,393
Factor Arrows
13257,261
Factor Arrows
1715,133
Factor Arrows
37409

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, 13, 17, 37, 409

We can check our work by multiplying all of the prime factors together: 2 x 3 x 13 x 17 x 37 x 409 = 20,066,358

This can also be written as 21 x 31 x 131 x 171 x 371 x 4091 = 20,066,358

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


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