Q: What are the prime factors of the number 43,467,520?

 A: 2, 5, 29, 1171

Why are those the prime factors of the number 43,467,520?

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 43,467,520

43,467,520
Factor Arrows
221,733,760
Factor Arrows
210,866,880
Factor Arrows
25,433,440
Factor Arrows
22,716,720
Factor Arrows
21,358,360
Factor Arrows
2679,180
Factor Arrows
2339,590
Factor Arrows
2169,795
Factor Arrows
533,959
Factor Arrows
291,171

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, 29, 1171

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 29 x 1,171 = 43,467,520

This can also be written as 28 x 51 x 291 x 1,1711 = 43,467,520

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


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