Q: What are the prime factors of the number 7,006,928?

 A: 2, 131, 3343

Why are those the prime factors of the number 7,006,928?

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 7,006,928

7,006,928
Factor Arrows
23,503,464
Factor Arrows
21,751,732
Factor Arrows
2875,866
Factor Arrows
2437,933
Factor Arrows
1313,343

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, 131, 3343

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 131 x 3,343 = 7,006,928

This can also be written as 24 x 1311 x 3,3431 = 7,006,928

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


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