Q: What are the prime factors of the number 55,003,865?

 A: 5, 7, 29, 47, 1153

Why are those the prime factors of the number 55,003,865?

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 55,003,865

55,003,865
Factor Arrows
511,000,773
Factor Arrows
71,571,539
Factor Arrows
2954,191
Factor Arrows
471,153

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:

5, 7, 29, 47, 1153

We can check our work by multiplying all of the prime factors together: 5 x 7 x 29 x 47 x 1,153 = 55,003,865

This can also be written as 51 x 71 x 291 x 471 x 1,1531 = 55,003,865

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


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