Q: What are the prime factors of the number 53,853,855?

 A: 3, 5, 11, 71, 4597

Why are those the prime factors of the number 53,853,855?

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 53,853,855

53,853,855
Factor Arrows
317,951,285
Factor Arrows
53,590,257
Factor Arrows
11326,387
Factor Arrows
714,597

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, 11, 71, 4597

We can check our work by multiplying all of the prime factors together: 3 x 5 x 11 x 71 x 4,597 = 53,853,855

This can also be written as 31 x 51 x 111 x 711 x 4,5971 = 53,853,855

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


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