Q: What are the prime factors of the number 20,053,143?

 A: 3, 11, 251, 269

Why are those the prime factors of the number 20,053,143?

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 20,053,143

20,053,143
Factor Arrows
36,684,381
Factor Arrows
32,228,127
Factor Arrows
3742,709
Factor Arrows
1167,519
Factor Arrows
251269

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, 11, 251, 269

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 11 x 251 x 269 = 20,053,143

This can also be written as 33 x 111 x 2511 x 2691 = 20,053,143

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


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