Q: What are the prime factors of the number 431,025,462?

 A: 2, 3, 7, 7757

Why are those the prime factors of the number 431,025,462?

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 431,025,462

431,025,462
Factor Arrows
2215,512,731
Factor Arrows
371,837,577
Factor Arrows
323,945,859
Factor Arrows
37,981,953
Factor Arrows
32,660,651
Factor Arrows
7380,093
Factor Arrows
754,299
Factor Arrows
77,757

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, 7757

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 7 x 7 x 7 x 7,757 = 431,025,462

This can also be written as 21 x 34 x 73 x 7,7571 = 431,025,462

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


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