Q: What are the prime factors of the number 55,521,344?

 A: 2, 19, 45659

Why are those the prime factors of the number 55,521,344?

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 55,521,344

55,521,344
Factor Arrows
227,760,672
Factor Arrows
213,880,336
Factor Arrows
26,940,168
Factor Arrows
23,470,084
Factor Arrows
21,735,042
Factor Arrows
2867,521
Factor Arrows
1945,659

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, 19, 45659

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 19 x 45,659 = 55,521,344

This can also be written as 26 x 191 x 45,6591 = 55,521,344

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


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