Q: What are the prime factors of the number 53,837,244?

 A: 2, 3, 498493

Why are those the prime factors of the number 53,837,244?

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 53,837,244

53,837,244
Factor Arrows
226,918,622
Factor Arrows
213,459,311
Factor Arrows
34,486,437
Factor Arrows
31,495,479
Factor Arrows
3498,493

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, 3, 498493

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 498,493 = 53,837,244

This can also be written as 22 x 33 x 498,4931 = 53,837,244

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


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