Q: What are the prime factors of the number 670,533,475?

 A: 5, 41, 53, 12343

Why are those the prime factors of the number 670,533,475?

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 670,533,475

670,533,475
Factor Arrows
5134,106,695
Factor Arrows
526,821,339
Factor Arrows
41654,179
Factor Arrows
5312,343

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:

5, 41, 53, 12343

We can check our work by multiplying all of the prime factors together: 5 x 5 x 41 x 53 x 12,343 = 670,533,475

This can also be written as 52 x 411 x 531 x 12,3431 = 670,533,475

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


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