Q: What are the prime factors of the number 52,414,540?

 A: 2, 5, 19, 137933

Why are those the prime factors of the number 52,414,540?

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 52,414,540

52,414,540
Factor Arrows
226,207,270
Factor Arrows
213,103,635
Factor Arrows
52,620,727
Factor Arrows
19137,933

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, 5, 19, 137933

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 19 x 137,933 = 52,414,540

This can also be written as 22 x 51 x 191 x 137,9331 = 52,414,540

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


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