Q: What are the prime factors of the number 55,367,200?

 A: 2, 5, 7, 9887

Why are those the prime factors of the number 55,367,200?

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 55,367,200

55,367,200
Factor Arrows
227,683,600
Factor Arrows
213,841,800
Factor Arrows
26,920,900
Factor Arrows
23,460,450
Factor Arrows
21,730,225
Factor Arrows
5346,045
Factor Arrows
569,209
Factor Arrows
79,887

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, 5, 7, 9887

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 5 x 7 x 9,887 = 55,367,200

This can also be written as 25 x 52 x 71 x 9,8871 = 55,367,200

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


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