Q: What are the prime factors of the number 2,845,504?

 A: 2, 173, 257

Why are those the prime factors of the number 2,845,504?

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 2,845,504

2,845,504
Factor Arrows
21,422,752
Factor Arrows
2711,376
Factor Arrows
2355,688
Factor Arrows
2177,844
Factor Arrows
288,922
Factor Arrows
244,461
Factor Arrows
173257

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, 173, 257

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 173 x 257 = 2,845,504

This can also be written as 26 x 1731 x 2571 = 2,845,504

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


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