Q: What are the prime factors of the number 55,237,077?

 A: 3, 7, 53, 71, 233

Why are those the prime factors of the number 55,237,077?

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 55,237,077

55,237,077
Factor Arrows
318,412,359
Factor Arrows
36,137,453
Factor Arrows
7876,779
Factor Arrows
5316,543
Factor Arrows
71233

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, 7, 53, 71, 233

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 53 x 71 x 233 = 55,237,077

This can also be written as 32 x 71 x 531 x 711 x 2331 = 55,237,077

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


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