Q: What are the prime factors of the number 243,376,494?

 A: 2, 3, 967, 41947

Why are those the prime factors of the number 243,376,494?

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 243,376,494

243,376,494
Factor Arrows
2121,688,247
Factor Arrows
340,562,749
Factor Arrows
96741,947

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, 967, 41947

We can check our work by multiplying all of the prime factors together: 2 x 3 x 967 x 41,947 = 243,376,494

This can also be written as 21 x 31 x 9671 x 41,9471 = 243,376,494

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


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