Q: What are the prime factors of the number 20,039,000?

 A: 2, 5, 29, 691

Why are those the prime factors of the number 20,039,000?

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 20,039,000

20,039,000
Factor Arrows
210,019,500
Factor Arrows
25,009,750
Factor Arrows
22,504,875
Factor Arrows
5500,975
Factor Arrows
5100,195
Factor Arrows
520,039
Factor Arrows
29691

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, 29, 691

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 5 x 5 x 29 x 691 = 20,039,000

This can also be written as 23 x 53 x 291 x 6911 = 20,039,000

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


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