Q: What are the prime factors of the number 52,341,255?

 A: 3, 5, 109, 3557

Why are those the prime factors of the number 52,341,255?

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 52,341,255

52,341,255
Factor Arrows
317,447,085
Factor Arrows
35,815,695
Factor Arrows
31,938,565
Factor Arrows
5387,713
Factor Arrows
1093,557

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:

3, 5, 109, 3557

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 109 x 3,557 = 52,341,255

This can also be written as 33 x 51 x 1091 x 3,5571 = 52,341,255

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


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