Q: What are the prime factors of the number 5,841,344?

 A: 2, 107, 853

Why are those the prime factors of the number 5,841,344?

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 5,841,344

5,841,344
Factor Arrows
22,920,672
Factor Arrows
21,460,336
Factor Arrows
2730,168
Factor Arrows
2365,084
Factor Arrows
2182,542
Factor Arrows
291,271
Factor Arrows
107853

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, 107, 853

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 107 x 853 = 5,841,344

This can also be written as 26 x 1071 x 8531 = 5,841,344

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


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