Q: What are the prime factors of the number 55,202,067?

 A: 3, 43, 587

Why are those the prime factors of the number 55,202,067?

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 55,202,067

55,202,067
Factor Arrows
318,400,689
Factor Arrows
36,133,563
Factor Arrows
32,044,521
Factor Arrows
3681,507
Factor Arrows
3227,169
Factor Arrows
375,723
Factor Arrows
325,241
Factor Arrows
43587

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, 43, 587

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 3 x 43 x 587 = 55,202,067

This can also be written as 37 x 431 x 5871 = 55,202,067

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


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