Q: What are the prime factors of the number 55,336,860?

 A: 2, 3, 5, 31, 47, 211

Why are those the prime factors of the number 55,336,860?

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 55,336,860

55,336,860
Factor Arrows
227,668,430
Factor Arrows
213,834,215
Factor Arrows
34,611,405
Factor Arrows
31,537,135
Factor Arrows
5307,427
Factor Arrows
319,917
Factor Arrows
47211

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, 31, 47, 211

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 31 x 47 x 211 = 55,336,860

This can also be written as 22 x 32 x 51 x 311 x 471 x 2111 = 55,336,860

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


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