Q: What are the factor combinations of the number 132,211,421?
A:
Positive:
1 x 132211421199 x 664379
Negative:
-1 x -132211421-199 x -664379
A:
Positive:
1 x 132211421199 x 664379
Negative:
-1 x -132211421-199 x -664379
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 132,211,421, 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 | 132,211,421 | |
-1 | -132,211,421 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 132,211,421.
Example:
1 x 132,211,421 = 132,211,421
and
-1 x -132,211,421 = 132,211,421
Notice both answers equal 132,211,421
With that explanation out of the way, let's continue. Next, we take the number 132,211,421 and divide it by 2:
132,211,421 ÷ 2 = 66,105,710.5
If the quotient is a whole number, then 2 and 66,105,710.5 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 | 132,211,421 | |
-1 | -132,211,421 |
Now, we try dividing 132,211,421 by 3:
132,211,421 ÷ 3 = 44,070,473.6667
If the quotient is a whole number, then 3 and 44,070,473.6667 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 | 132,211,421 | |
-1 | -132,211,421 |
Let's try dividing by 4:
132,211,421 ÷ 4 = 33,052,855.25
If the quotient is a whole number, then 4 and 33,052,855.25 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 | 132,211,421 | |
-1 | 132,211,421 |
If you did it right, you will end up with this table:
1 | 199 | 664,379 | 132,211,421 |
-1 | -199 | -664,379 | -132,211,421 |
Here are some more numbers to try:
Try the factor calculator