Q: What are the prime factors of the number 43,164,560?

 A: 2, 5, 23, 23459

Why are those the prime factors of the number 43,164,560?

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 43,164,560

43,164,560
Factor Arrows
221,582,280
Factor Arrows
210,791,140
Factor Arrows
25,395,570
Factor Arrows
22,697,785
Factor Arrows
5539,557
Factor Arrows
2323,459

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, 23, 23459

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 23 x 23,459 = 43,164,560

This can also be written as 24 x 51 x 231 x 23,4591 = 43,164,560

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


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