Q: What are the prime factors of the number 7,130,835?

 A: 3, 5, 5869

Why are those the prime factors of the number 7,130,835?

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 7,130,835

7,130,835
Factor Arrows
32,376,945
Factor Arrows
3792,315
Factor Arrows
3264,105
Factor Arrows
388,035
Factor Arrows
329,345
Factor Arrows
55,869

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, 5869

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 5,869 = 7,130,835

This can also be written as 35 x 51 x 5,8691 = 7,130,835

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


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