Q: What are the prime factors of the number 52,153,740?

 A: 2, 3, 5, 96581

Why are those the prime factors of the number 52,153,740?

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 52,153,740

52,153,740
Factor Arrows
226,076,870
Factor Arrows
213,038,435
Factor Arrows
34,346,145
Factor Arrows
31,448,715
Factor Arrows
3482,905
Factor Arrows
596,581

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, 5, 96581

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 5 x 96,581 = 52,153,740

This can also be written as 22 x 33 x 51 x 96,5811 = 52,153,740

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


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