Q: What are the prime factors of the number 52,423,350?

 A: 2, 3, 5, 7, 49927

Why are those the prime factors of the number 52,423,350?

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 52,423,350

52,423,350
Factor Arrows
226,211,675
Factor Arrows
38,737,225
Factor Arrows
51,747,445
Factor Arrows
5349,489
Factor Arrows
749,927

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, 7, 49927

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 7 x 49,927 = 52,423,350

This can also be written as 21 x 31 x 52 x 71 x 49,9271 = 52,423,350

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


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