Q: What are the prime factors of the number 430,303,434?

 A: 2, 3, 11, 277, 23537

Why are those the prime factors of the number 430,303,434?

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 430,303,434

430,303,434
Factor Arrows
2215,151,717
Factor Arrows
371,717,239
Factor Arrows
116,519,749
Factor Arrows
27723,537

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, 11, 277, 23537

We can check our work by multiplying all of the prime factors together: 2 x 3 x 11 x 277 x 23,537 = 430,303,434

This can also be written as 21 x 31 x 111 x 2771 x 23,5371 = 430,303,434

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


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