Q: What are the prime factors of the number 23,067,083?

 A: 13, 19, 47, 1987

Why are those the prime factors of the number 23,067,083?

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 23,067,083

23,067,083
Factor Arrows
131,774,391
Factor Arrows
1993,389
Factor Arrows
471,987

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, 19, 47, 1987

We can check our work by multiplying all of the prime factors together: 13 x 19 x 47 x 1,987 = 23,067,083

This can also be written as 131 x 191 x 471 x 1,9871 = 23,067,083

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


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