Q: What are the factor combinations of the number 112,232,033?
A:
Positive:
1 x 1122320331873 x 59921
Negative:
-1 x -112232033-1873 x -59921
A:
Positive:
1 x 1122320331873 x 59921
Negative:
-1 x -112232033-1873 x -59921
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 112,232,033, 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 | 112,232,033 | |
-1 | -112,232,033 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 112,232,033.
Example:
1 x 112,232,033 = 112,232,033
and
-1 x -112,232,033 = 112,232,033
Notice both answers equal 112,232,033
With that explanation out of the way, let's continue. Next, we take the number 112,232,033 and divide it by 2:
112,232,033 ÷ 2 = 56,116,016.5
If the quotient is a whole number, then 2 and 56,116,016.5 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 | 112,232,033 | |
-1 | -112,232,033 |
Now, we try dividing 112,232,033 by 3:
112,232,033 ÷ 3 = 37,410,677.6667
If the quotient is a whole number, then 3 and 37,410,677.6667 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 | 112,232,033 | |
-1 | -112,232,033 |
Let's try dividing by 4:
112,232,033 ÷ 4 = 28,058,008.25
If the quotient is a whole number, then 4 and 28,058,008.25 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 | 112,232,033 | |
-1 | 112,232,033 |
If you did it right, you will end up with this table:
1 | 1,873 | 59,921 | 112,232,033 |
-1 | -1,873 | -59,921 | -112,232,033 |
Here are some more numbers to try:
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