Q: What are the prime factors of the number 430,050,244?

 A: 2, 13, 61, 10429

Why are those the prime factors of the number 430,050,244?

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 430,050,244

430,050,244
Factor Arrows
2215,025,122
Factor Arrows
2107,512,561
Factor Arrows
138,270,197
Factor Arrows
13636,169
Factor Arrows
6110,429

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, 13, 61, 10429

We can check our work by multiplying all of the prime factors together: 2 x 2 x 13 x 13 x 61 x 10,429 = 430,050,244

This can also be written as 22 x 132 x 611 x 10,4291 = 430,050,244

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


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