Q: What are the prime factors of the number 1,944,740?

 A: 2, 5, 7, 29, 479

Why are those the prime factors of the number 1,944,740?

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 1,944,740

1,944,740
Factor Arrows
2972,370
Factor Arrows
2486,185
Factor Arrows
597,237
Factor Arrows
713,891
Factor Arrows
29479

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, 7, 29, 479

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 7 x 29 x 479 = 1,944,740

This can also be written as 22 x 51 x 71 x 291 x 4791 = 1,944,740

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


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