Q: What are the prime factors of the number 7,618,784?

 A: 2, 41, 5807

Why are those the prime factors of the number 7,618,784?

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 7,618,784

7,618,784
Factor Arrows
23,809,392
Factor Arrows
21,904,696
Factor Arrows
2952,348
Factor Arrows
2476,174
Factor Arrows
2238,087
Factor Arrows
415,807

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, 41, 5807

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 41 x 5,807 = 7,618,784

This can also be written as 25 x 411 x 5,8071 = 7,618,784

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


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