Q: What are the prime factors of the number 6,953,920?

 A: 2, 5, 31, 701

Why are those the prime factors of the number 6,953,920?

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 6,953,920

6,953,920
Factor Arrows
23,476,960
Factor Arrows
21,738,480
Factor Arrows
2869,240
Factor Arrows
2434,620
Factor Arrows
2217,310
Factor Arrows
2108,655
Factor Arrows
521,731
Factor Arrows
31701

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, 5, 31, 701

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 5 x 31 x 701 = 6,953,920

This can also be written as 26 x 51 x 311 x 7011 = 6,953,920

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


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