Q: What are the prime factors of the number 1,049,940?

 A: 2, 3, 5, 19, 307

Why are those the prime factors of the number 1,049,940?

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 1,049,940

1,049,940
Factor Arrows
2524,970
Factor Arrows
2262,485
Factor Arrows
387,495
Factor Arrows
329,165
Factor Arrows
55,833
Factor Arrows
19307

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, 19, 307

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 19 x 307 = 1,049,940

This can also be written as 22 x 32 x 51 x 191 x 3071 = 1,049,940

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


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