Q: What are the prime factors of the number 40,002,400?

 A: 2, 5, 31, 1613

Why are those the prime factors of the number 40,002,400?

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 40,002,400

40,002,400
Factor Arrows
220,001,200
Factor Arrows
210,000,600
Factor Arrows
25,000,300
Factor Arrows
22,500,150
Factor Arrows
21,250,075
Factor Arrows
5250,015
Factor Arrows
550,003
Factor Arrows
311,613

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, 31, 1613

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 5 x 31 x 1,613 = 40,002,400

This can also be written as 25 x 52 x 311 x 1,6131 = 40,002,400

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


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