Q: What are the factor combinations of the number 112,134,031?
A:
Positive:
1 x 1121340311777 x 63103
Negative:
-1 x -112134031-1777 x -63103
A:
Positive:
1 x 1121340311777 x 63103
Negative:
-1 x -112134031-1777 x -63103
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 112,134,031, 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 | 112,134,031 | |
-1 | -112,134,031 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 112,134,031.
Example:
1 x 112,134,031 = 112,134,031
and
-1 x -112,134,031 = 112,134,031
Notice both answers equal 112,134,031
With that explanation out of the way, let's continue. Next, we take the number 112,134,031 and divide it by 2:
112,134,031 ÷ 2 = 56,067,015.5
If the quotient is a whole number, then 2 and 56,067,015.5 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 | 112,134,031 | |
-1 | -112,134,031 |
Now, we try dividing 112,134,031 by 3:
112,134,031 ÷ 3 = 37,378,010.3333
If the quotient is a whole number, then 3 and 37,378,010.3333 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 | 112,134,031 | |
-1 | -112,134,031 |
Let's try dividing by 4:
112,134,031 ÷ 4 = 28,033,507.75
If the quotient is a whole number, then 4 and 28,033,507.75 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 | 112,134,031 | |
-1 | 112,134,031 |
If you did it right, you will end up with this table:
1 | 1,777 | 63,103 | 112,134,031 |
-1 | -1,777 | -63,103 | -112,134,031 |
Here are some more numbers to try:
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