Q: What are the prime factors of the number 1,643,750?

 A: 2, 5, 263

Why are those the prime factors of the number 1,643,750?

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 1,643,750

1,643,750
Factor Arrows
2821,875
Factor Arrows
5164,375
Factor Arrows
532,875
Factor Arrows
56,575
Factor Arrows
51,315
Factor Arrows
5263

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, 263

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 5 x 5 x 5 x 263 = 1,643,750

This can also be written as 21 x 55 x 2631 = 1,643,750

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


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