Q: What are the prime factors of the number 7,269,210?

 A: 2, 3, 5, 13, 19, 109

Why are those the prime factors of the number 7,269,210?

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 7,269,210

7,269,210
Factor Arrows
23,634,605
Factor Arrows
31,211,535
Factor Arrows
3403,845
Factor Arrows
3134,615
Factor Arrows
526,923
Factor Arrows
132,071
Factor Arrows
19109

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, 3, 5, 13, 19, 109

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 5 x 13 x 19 x 109 = 7,269,210

This can also be written as 21 x 33 x 51 x 131 x 191 x 1091 = 7,269,210

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


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