Q: What are the prime factors of the number 1,841,520?

 A: 2, 3, 5, 7673

Why are those the prime factors of the number 1,841,520?

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 1,841,520

1,841,520
Factor Arrows
2920,760
Factor Arrows
2460,380
Factor Arrows
2230,190
Factor Arrows
2115,095
Factor Arrows
338,365
Factor Arrows
57,673

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, 7673

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 5 x 7,673 = 1,841,520

This can also be written as 24 x 31 x 51 x 7,6731 = 1,841,520

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


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