Q: What are the prime factors of the number 4,265,450?

 A: 2, 5, 7, 1741

Why are those the prime factors of the number 4,265,450?

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 4,265,450

4,265,450
Factor Arrows
22,132,725
Factor Arrows
5426,545
Factor Arrows
585,309
Factor Arrows
712,187
Factor Arrows
71,741

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, 5, 7, 1741

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 7 x 7 x 1,741 = 4,265,450

This can also be written as 21 x 52 x 72 x 1,7411 = 4,265,450

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


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