Q: What are the prime factors of the number 2,877,498?

 A: 2, 3, 13, 4099

Why are those the prime factors of the number 2,877,498?

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 2,877,498

2,877,498
Factor Arrows
21,438,749
Factor Arrows
3479,583
Factor Arrows
3159,861
Factor Arrows
353,287
Factor Arrows
134,099

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, 13, 4099

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 13 x 4,099 = 2,877,498

This can also be written as 21 x 33 x 131 x 4,0991 = 2,877,498

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


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