Q: What are the prime factors of the number 55,410,003?

 A: 3, 11, 631, 887

Why are those the prime factors of the number 55,410,003?

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 55,410,003

55,410,003
Factor Arrows
318,470,001
Factor Arrows
36,156,667
Factor Arrows
11559,697
Factor Arrows
631887

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, 11, 631, 887

We can check our work by multiplying all of the prime factors together: 3 x 3 x 11 x 631 x 887 = 55,410,003

This can also be written as 32 x 111 x 6311 x 8871 = 55,410,003

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


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