Q: What are the prime factors of the number 29,000,013?

 A: 3, 7, 197279

Why are those the prime factors of the number 29,000,013?

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 29,000,013

29,000,013
Factor Arrows
39,666,671
Factor Arrows
71,380,953
Factor Arrows
7197,279

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, 7, 197279

We can check our work by multiplying all of the prime factors together: 3 x 7 x 7 x 197,279 = 29,000,013

This can also be written as 31 x 72 x 197,2791 = 29,000,013

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


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