Q: What are the prime factors of the number 55,567,616?

 A: 2, 13, 59, 283

Why are those the prime factors of the number 55,567,616?

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 55,567,616

55,567,616
Factor Arrows
227,783,808
Factor Arrows
213,891,904
Factor Arrows
26,945,952
Factor Arrows
23,472,976
Factor Arrows
21,736,488
Factor Arrows
2868,244
Factor Arrows
2434,122
Factor Arrows
2217,061
Factor Arrows
1316,697
Factor Arrows
59283

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, 13, 59, 283

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 13 x 59 x 283 = 55,567,616

This can also be written as 28 x 131 x 591 x 2831 = 55,567,616

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


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