Q: What are the prime factors of the number 29,403,756?

 A: 2, 3, 272257

Why are those the prime factors of the number 29,403,756?

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 29,403,756

29,403,756
Factor Arrows
214,701,878
Factor Arrows
27,350,939
Factor Arrows
32,450,313
Factor Arrows
3816,771
Factor Arrows
3272,257

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:

2, 3, 272257

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 272,257 = 29,403,756

This can also be written as 22 x 33 x 272,2571 = 29,403,756

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


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