Q: What are the prime factors of the number 524,426,454?

 A: 2, 3, 9711601

Why are those the prime factors of the number 524,426,454?

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 524,426,454

524,426,454
Factor Arrows
2262,213,227
Factor Arrows
387,404,409
Factor Arrows
329,134,803
Factor Arrows
39,711,601

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, 9711601

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 9,711,601 = 524,426,454

This can also be written as 21 x 33 x 9,711,6011 = 524,426,454

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


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