Q: What are the prime factors of the number 40,141,120?

 A: 2, 5, 125441

Why are those the prime factors of the number 40,141,120?

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 40,141,120

40,141,120
Factor Arrows
220,070,560
Factor Arrows
210,035,280
Factor Arrows
25,017,640
Factor Arrows
22,508,820
Factor Arrows
21,254,410
Factor Arrows
2627,205
Factor Arrows
5125,441

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, 125441

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 5 x 125,441 = 40,141,120

This can also be written as 26 x 51 x 125,4411 = 40,141,120

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


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