Q: What are the prime factors of the number 2,140,425?

 A: 3, 5, 7, 151

Why are those the prime factors of the number 2,140,425?

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 2,140,425

2,140,425
Factor Arrows
3713,475
Factor Arrows
3237,825
Factor Arrows
379,275
Factor Arrows
326,425
Factor Arrows
55,285
Factor Arrows
51,057
Factor Arrows
7151

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, 7, 151

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 5 x 5 x 7 x 151 = 2,140,425

This can also be written as 34 x 52 x 71 x 1511 = 2,140,425

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


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