Q: What are the prime factors of the number 8,067,195?

 A: 3, 5, 19919

Why are those the prime factors of the number 8,067,195?

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 8,067,195

8,067,195
Factor Arrows
32,689,065
Factor Arrows
3896,355
Factor Arrows
3298,785
Factor Arrows
399,595
Factor Arrows
519,919

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, 19919

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 5 x 19,919 = 8,067,195

This can also be written as 34 x 51 x 19,9191 = 8,067,195

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


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