Q: What are the prime factors of the number 40,201,136?

 A: 2, 53, 47407

Why are those the prime factors of the number 40,201,136?

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 40,201,136

40,201,136
Factor Arrows
220,100,568
Factor Arrows
210,050,284
Factor Arrows
25,025,142
Factor Arrows
22,512,571
Factor Arrows
5347,407

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, 53, 47407

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 53 x 47,407 = 40,201,136

This can also be written as 24 x 531 x 47,4071 = 40,201,136

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


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