Q: What are the prime factors of the number 43,075,340?

 A: 2, 5, 7, 11, 83, 337

Why are those the prime factors of the number 43,075,340?

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 43,075,340

43,075,340
Factor Arrows
221,537,670
Factor Arrows
210,768,835
Factor Arrows
52,153,767
Factor Arrows
7307,681
Factor Arrows
1127,971
Factor Arrows
83337

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, 7, 11, 83, 337

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 7 x 11 x 83 x 337 = 43,075,340

This can also be written as 22 x 51 x 71 x 111 x 831 x 3371 = 43,075,340

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


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