Q: What are the prime factors of the number 462,285,474?

 A: 2, 3, 7, 37, 297481

Why are those the prime factors of the number 462,285,474?

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 462,285,474

462,285,474
Factor Arrows
2231,142,737
Factor Arrows
377,047,579
Factor Arrows
711,006,797
Factor Arrows
37297,481

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, 7, 37, 297481

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 37 x 297,481 = 462,285,474

This can also be written as 21 x 31 x 71 x 371 x 297,4811 = 462,285,474

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


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