Q: What are the prime factors of the number 318,601,784?

 A: 2, 73, 545551

Why are those the prime factors of the number 318,601,784?

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 318,601,784

318,601,784
Factor Arrows
2159,300,892
Factor Arrows
279,650,446
Factor Arrows
239,825,223
Factor Arrows
73545,551

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, 73, 545551

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 73 x 545,551 = 318,601,784

This can also be written as 23 x 731 x 545,5511 = 318,601,784

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


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