Q: What are the prime factors of the number 55,737,279?

 A: 3, 13, 19, 25073

Why are those the prime factors of the number 55,737,279?

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 55,737,279

55,737,279
Factor Arrows
318,579,093
Factor Arrows
36,193,031
Factor Arrows
13476,387
Factor Arrows
1925,073

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, 13, 19, 25073

We can check our work by multiplying all of the prime factors together: 3 x 3 x 13 x 19 x 25,073 = 55,737,279

This can also be written as 32 x 131 x 191 x 25,0731 = 55,737,279

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


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