Q: What are the prime factors of the number 43,034,420?

 A: 2, 5, 11, 13, 41, 367

Why are those the prime factors of the number 43,034,420?

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 43,034,420

43,034,420
Factor Arrows
221,517,210
Factor Arrows
210,758,605
Factor Arrows
52,151,721
Factor Arrows
11195,611
Factor Arrows
1315,047
Factor Arrows
41367

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, 11, 13, 41, 367

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 11 x 13 x 41 x 367 = 43,034,420

This can also be written as 22 x 51 x 111 x 131 x 411 x 3671 = 43,034,420

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


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