Q: What are the prime factors of the number 6,967,040?

 A: 2, 5, 5443

Why are those the prime factors of the number 6,967,040?

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 6,967,040

6,967,040
Factor Arrows
23,483,520
Factor Arrows
21,741,760
Factor Arrows
2870,880
Factor Arrows
2435,440
Factor Arrows
2217,720
Factor Arrows
2108,860
Factor Arrows
254,430
Factor Arrows
227,215
Factor Arrows
55,443

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, 5443

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 2 x 2 x 5 x 5,443 = 6,967,040

This can also be written as 28 x 51 x 5,4431 = 6,967,040

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


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