Q: What are the prime factors of the number 52,610,496?

 A: 2, 3, 101, 2713

Why are those the prime factors of the number 52,610,496?

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 52,610,496

52,610,496
Factor Arrows
226,305,248
Factor Arrows
213,152,624
Factor Arrows
26,576,312
Factor Arrows
23,288,156
Factor Arrows
21,644,078
Factor Arrows
2822,039
Factor Arrows
3274,013
Factor Arrows
1012,713

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, 101, 2713

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 101 x 2,713 = 52,610,496

This can also be written as 26 x 31 x 1011 x 2,7131 = 52,610,496

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


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