Q: What are the prime factors of the number 46,422,560?

 A: 2, 5, 290141

Why are those the prime factors of the number 46,422,560?

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 46,422,560

46,422,560
Factor Arrows
223,211,280
Factor Arrows
211,605,640
Factor Arrows
25,802,820
Factor Arrows
22,901,410
Factor Arrows
21,450,705
Factor Arrows
5290,141

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, 290141

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 290,141 = 46,422,560

This can also be written as 25 x 51 x 290,1411 = 46,422,560

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


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