Q: What are the prime factors of the number 1,651,860?

 A: 2, 3, 5, 7, 19, 23

Why are those the prime factors of the number 1,651,860?

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 1,651,860

1,651,860
Factor Arrows
2825,930
Factor Arrows
2412,965
Factor Arrows
3137,655
Factor Arrows
345,885
Factor Arrows
315,295
Factor Arrows
53,059
Factor Arrows
7437
Factor Arrows
1923

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, 7, 19, 23

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 5 x 7 x 19 x 23 = 1,651,860

This can also be written as 22 x 33 x 51 x 71 x 191 x 231 = 1,651,860

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


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