Q: What are the prime factors of the number 20,000,343?

 A: 3, 11, 29, 20899

Why are those the prime factors of the number 20,000,343?

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 20,000,343

20,000,343
Factor Arrows
36,666,781
Factor Arrows
11606,071
Factor Arrows
2920,899

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, 29, 20899

We can check our work by multiplying all of the prime factors together: 3 x 11 x 29 x 20,899 = 20,000,343

This can also be written as 31 x 111 x 291 x 20,8991 = 20,000,343

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


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