Q: What are the prime factors of the number 32,090,200?

 A: 2, 5, 281, 571

Why are those the prime factors of the number 32,090,200?

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 32,090,200

32,090,200
Factor Arrows
216,045,100
Factor Arrows
28,022,550
Factor Arrows
24,011,275
Factor Arrows
5802,255
Factor Arrows
5160,451
Factor Arrows
281571

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, 281, 571

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 5 x 281 x 571 = 32,090,200

This can also be written as 23 x 52 x 2811 x 5711 = 32,090,200

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


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