Q: What are the prime factors of the number 55,134,027?

 A: 3, 13, 31, 563

Why are those the prime factors of the number 55,134,027?

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 55,134,027

55,134,027
Factor Arrows
318,378,009
Factor Arrows
36,126,003
Factor Arrows
32,042,001
Factor Arrows
3680,667
Factor Arrows
3226,889
Factor Arrows
1317,453
Factor Arrows
31563

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:

3, 13, 31, 563

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 13 x 31 x 563 = 55,134,027

This can also be written as 35 x 131 x 311 x 5631 = 55,134,027

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


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