Q: What are the prime factors of the number 52,221,615?

 A: 3, 5, 23, 37, 4091

Why are those the prime factors of the number 52,221,615?

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 52,221,615

52,221,615
Factor Arrows
317,407,205
Factor Arrows
53,481,441
Factor Arrows
23151,367
Factor Arrows
374,091

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, 5, 23, 37, 4091

We can check our work by multiplying all of the prime factors together: 3 x 5 x 23 x 37 x 4,091 = 52,221,615

This can also be written as 31 x 51 x 231 x 371 x 4,0911 = 52,221,615

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


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