Q: What are the prime factors of the number 5,683,440?

 A: 2, 3, 5, 7, 17, 199

Why are those the prime factors of the number 5,683,440?

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 5,683,440

5,683,440
Factor Arrows
22,841,720
Factor Arrows
21,420,860
Factor Arrows
2710,430
Factor Arrows
2355,215
Factor Arrows
3118,405
Factor Arrows
523,681
Factor Arrows
73,383
Factor Arrows
17199

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, 3, 5, 7, 17, 199

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 5 x 7 x 17 x 199 = 5,683,440

This can also be written as 24 x 31 x 51 x 71 x 171 x 1991 = 5,683,440

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


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