Q: What are the prime factors of the number 10,350,450?

 A: 2, 3, 5, 11, 17, 41

Why are those the prime factors of the number 10,350,450?

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 10,350,450

10,350,450
Factor Arrows
25,175,225
Factor Arrows
31,725,075
Factor Arrows
3575,025
Factor Arrows
3191,675
Factor Arrows
538,335
Factor Arrows
57,667
Factor Arrows
11697
Factor Arrows
1741

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, 5, 11, 17, 41

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 5 x 5 x 11 x 17 x 41 = 10,350,450

This can also be written as 21 x 33 x 52 x 111 x 171 x 411 = 10,350,450

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


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