Q: What are the prime factors of the number 20,050,407?

 A: 3, 13, 409, 419

Why are those the prime factors of the number 20,050,407?

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 20,050,407

20,050,407
Factor Arrows
36,683,469
Factor Arrows
32,227,823
Factor Arrows
13171,371
Factor Arrows
409419

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, 13, 409, 419

We can check our work by multiplying all of the prime factors together: 3 x 3 x 13 x 409 x 419 = 20,050,407

This can also be written as 32 x 131 x 4091 x 4191 = 20,050,407

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


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