Q: What are the prime factors of the number 24,630,319?

 A: 7, 53, 197, 337

Why are those the prime factors of the number 24,630,319?

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 24,630,319

24,630,319
Factor Arrows
73,518,617
Factor Arrows
5366,389
Factor Arrows
197337

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:

7, 53, 197, 337

We can check our work by multiplying all of the prime factors together: 7 x 53 x 197 x 337 = 24,630,319

This can also be written as 71 x 531 x 1971 x 3371 = 24,630,319

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


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