Q: What are the prime factors of the number 55,001,008?

 A: 2, 41, 83843

Why are those the prime factors of the number 55,001,008?

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 55,001,008

55,001,008
Factor Arrows
227,500,504
Factor Arrows
213,750,252
Factor Arrows
26,875,126
Factor Arrows
23,437,563
Factor Arrows
4183,843

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, 41, 83843

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 41 x 83,843 = 55,001,008

This can also be written as 24 x 411 x 83,8431 = 55,001,008

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


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