Q: What are the factor combinations of the number 7,172,329?
A:
Positive:
1 x 717232919 x 377491
Negative:
-1 x -7172329-19 x -377491
A:
Positive:
1 x 717232919 x 377491
Negative:
-1 x -7172329-19 x -377491
Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 7,172,329, it is easier to work with a table - it's called factoring from the outside in.
We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.
1 | 7,172,329 | |
-1 | -7,172,329 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 7,172,329.
Example:
1 x 7,172,329 = 7,172,329
and
-1 x -7,172,329 = 7,172,329
Notice both answers equal 7,172,329
With that explanation out of the way, let's continue. Next, we take the number 7,172,329 and divide it by 2:
7,172,329 ÷ 2 = 3,586,164.5
If the quotient is a whole number, then 2 and 3,586,164.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
1 | 7,172,329 | |
-1 | -7,172,329 |
Now, we try dividing 7,172,329 by 3:
7,172,329 ÷ 3 = 2,390,776.3333
If the quotient is a whole number, then 3 and 2,390,776.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
1 | 7,172,329 | |
-1 | -7,172,329 |
Let's try dividing by 4:
7,172,329 ÷ 4 = 1,793,082.25
If the quotient is a whole number, then 4 and 1,793,082.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
1 | 7,172,329 | |
-1 | 7,172,329 |
If you did it right, you will end up with this table:
1 | 19 | 377,491 | 7,172,329 |
-1 | -19 | -377,491 | -7,172,329 |
Here are some more numbers to try:
Try the factor calculator