Q: What are the prime factors of the number 1,641,420?

 A: 2, 3, 5, 11, 829

Why are those the prime factors of the number 1,641,420?

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 1,641,420

1,641,420
Factor Arrows
2820,710
Factor Arrows
2410,355
Factor Arrows
3136,785
Factor Arrows
345,595
Factor Arrows
59,119
Factor Arrows
11829

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, 11, 829

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 11 x 829 = 1,641,420

This can also be written as 22 x 32 x 51 x 111 x 8291 = 1,641,420

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


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