Q: What are the prime factors of the number 9,074,835?

 A: 3, 5, 7, 11, 97

Why are those the prime factors of the number 9,074,835?

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 9,074,835

9,074,835
Factor Arrows
33,024,945
Factor Arrows
31,008,315
Factor Arrows
3336,105
Factor Arrows
3112,035
Factor Arrows
337,345
Factor Arrows
57,469
Factor Arrows
71,067
Factor Arrows
1197

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, 5, 7, 11, 97

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 5 x 7 x 11 x 97 = 9,074,835

This can also be written as 35 x 51 x 71 x 111 x 971 = 9,074,835

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


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