Q: What are the factor combinations of the number 132,166,123?
A:
Positive:
1 x 1321661231597 x 82759
Negative:
-1 x -132166123-1597 x -82759
A:
Positive:
1 x 1321661231597 x 82759
Negative:
-1 x -132166123-1597 x -82759
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 132,166,123, 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 | 132,166,123 | |
-1 | -132,166,123 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 132,166,123.
Example:
1 x 132,166,123 = 132,166,123
and
-1 x -132,166,123 = 132,166,123
Notice both answers equal 132,166,123
With that explanation out of the way, let's continue. Next, we take the number 132,166,123 and divide it by 2:
132,166,123 ÷ 2 = 66,083,061.5
If the quotient is a whole number, then 2 and 66,083,061.5 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 | 132,166,123 | |
-1 | -132,166,123 |
Now, we try dividing 132,166,123 by 3:
132,166,123 ÷ 3 = 44,055,374.3333
If the quotient is a whole number, then 3 and 44,055,374.3333 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 | 132,166,123 | |
-1 | -132,166,123 |
Let's try dividing by 4:
132,166,123 ÷ 4 = 33,041,530.75
If the quotient is a whole number, then 4 and 33,041,530.75 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 | 132,166,123 | |
-1 | 132,166,123 |
If you did it right, you will end up with this table:
1 | 1,597 | 82,759 | 132,166,123 |
-1 | -1,597 | -82,759 | -132,166,123 |
Here are some more numbers to try:
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