Q: What are the prime factors of the number 55,257,178?

 A: 2, 23, 67, 17929

Why are those the prime factors of the number 55,257,178?

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 55,257,178

55,257,178
Factor Arrows
227,628,589
Factor Arrows
231,201,243
Factor Arrows
6717,929

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, 23, 67, 17929

We can check our work by multiplying all of the prime factors together: 2 x 23 x 67 x 17,929 = 55,257,178

This can also be written as 21 x 231 x 671 x 17,9291 = 55,257,178

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


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