Q: What are the prime factors of the number 2,379,285?

 A: 3, 5, 37, 1429

Why are those the prime factors of the number 2,379,285?

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 2,379,285

2,379,285
Factor Arrows
3793,095
Factor Arrows
3264,365
Factor Arrows
552,873
Factor Arrows
371,429

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:

3, 5, 37, 1429

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 37 x 1,429 = 2,379,285

This can also be written as 32 x 51 x 371 x 1,4291 = 2,379,285

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


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