Q: What are the prime factors of the number 43,045,210?

 A: 2, 5, 13, 263, 1259

Why are those the prime factors of the number 43,045,210?

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 43,045,210

43,045,210
Factor Arrows
221,522,605
Factor Arrows
54,304,521
Factor Arrows
13331,117
Factor Arrows
2631,259

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, 5, 13, 263, 1259

We can check our work by multiplying all of the prime factors together: 2 x 5 x 13 x 263 x 1,259 = 43,045,210

This can also be written as 21 x 51 x 131 x 2631 x 1,2591 = 43,045,210

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


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