Q: What are the prime factors of the number 55,155,152?

 A: 2, 13, 265169

Why are those the prime factors of the number 55,155,152?

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 55,155,152

55,155,152
Factor Arrows
227,577,576
Factor Arrows
213,788,788
Factor Arrows
26,894,394
Factor Arrows
23,447,197
Factor Arrows
13265,169

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, 265169

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 13 x 265,169 = 55,155,152

This can also be written as 24 x 131 x 265,1691 = 55,155,152

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


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