Q: What are the prime factors of the number 43,013,616?

 A: 2, 3, 31, 137, 211

Why are those the prime factors of the number 43,013,616?

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 43,013,616

43,013,616
Factor Arrows
221,506,808
Factor Arrows
210,753,404
Factor Arrows
25,376,702
Factor Arrows
22,688,351
Factor Arrows
3896,117
Factor Arrows
3128,907
Factor Arrows
137211

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, 31, 137, 211

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 31 x 137 x 211 = 43,013,616

This can also be written as 24 x 31 x 311 x 1371 x 2111 = 43,013,616

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


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