Q: What are the prime factors of the number 52,476,390?

 A: 2, 3, 5, 263, 739

Why are those the prime factors of the number 52,476,390?

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 52,476,390

52,476,390
Factor Arrows
226,238,195
Factor Arrows
38,746,065
Factor Arrows
32,915,355
Factor Arrows
3971,785
Factor Arrows
5194,357
Factor Arrows
263739

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, 263, 739

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 5 x 263 x 739 = 52,476,390

This can also be written as 21 x 33 x 51 x 2631 x 7391 = 52,476,390

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


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