Q: What are the prime factors of the number 29,156,803?

 A: 13, 29, 77339

Why are those the prime factors of the number 29,156,803?

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 29,156,803

29,156,803
Factor Arrows
132,242,831
Factor Arrows
2977,339

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:

13, 29, 77339

We can check our work by multiplying all of the prime factors together: 13 x 29 x 77,339 = 29,156,803

This can also be written as 131 x 291 x 77,3391 = 29,156,803

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


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