Q: What are the prime factors of the number 4,969,160?

 A: 2, 5, 7, 17747

Why are those the prime factors of the number 4,969,160?

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 4,969,160

4,969,160
Factor Arrows
22,484,580
Factor Arrows
21,242,290
Factor Arrows
2621,145
Factor Arrows
5124,229
Factor Arrows
717,747

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, 7, 17747

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 7 x 17,747 = 4,969,160

This can also be written as 23 x 51 x 71 x 17,7471 = 4,969,160

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


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