Q: What are the factor combinations of the number 132,301,183?
A:
Positive:
1 x 1323011837 x 18900169
Negative:
-1 x -132301183-7 x -18900169
A:
Positive:
1 x 1323011837 x 18900169
Negative:
-1 x -132301183-7 x -18900169
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 132,301,183, 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 | 132,301,183 | |
-1 | -132,301,183 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 132,301,183.
Example:
1 x 132,301,183 = 132,301,183
and
-1 x -132,301,183 = 132,301,183
Notice both answers equal 132,301,183
With that explanation out of the way, let's continue. Next, we take the number 132,301,183 and divide it by 2:
132,301,183 ÷ 2 = 66,150,591.5
If the quotient is a whole number, then 2 and 66,150,591.5 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 | 132,301,183 | |
-1 | -132,301,183 |
Now, we try dividing 132,301,183 by 3:
132,301,183 ÷ 3 = 44,100,394.3333
If the quotient is a whole number, then 3 and 44,100,394.3333 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 | 132,301,183 | |
-1 | -132,301,183 |
Let's try dividing by 4:
132,301,183 ÷ 4 = 33,075,295.75
If the quotient is a whole number, then 4 and 33,075,295.75 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 | 132,301,183 | |
-1 | 132,301,183 |
If you did it right, you will end up with this table:
1 | 7 | 18,900,169 | 132,301,183 |
-1 | -7 | -18,900,169 | -132,301,183 |
Here are some more numbers to try:
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