Q: What are the prime factors of the number 52,235,376?

 A: 2, 3, 1088237

Why are those the prime factors of the number 52,235,376?

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 52,235,376

52,235,376
Factor Arrows
226,117,688
Factor Arrows
213,058,844
Factor Arrows
26,529,422
Factor Arrows
23,264,711
Factor Arrows
31,088,237

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, 1088237

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 1,088,237 = 52,235,376

This can also be written as 24 x 31 x 1,088,2371 = 52,235,376

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


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