Q: What are the prime factors of the number 1,844,235?

 A: 3, 5, 19, 719

Why are those the prime factors of the number 1,844,235?

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 1,844,235

1,844,235
Factor Arrows
3614,745
Factor Arrows
3204,915
Factor Arrows
368,305
Factor Arrows
513,661
Factor Arrows
19719

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:

3, 5, 19, 719

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 19 x 719 = 1,844,235

This can also be written as 33 x 51 x 191 x 7191 = 1,844,235

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


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