Q: What are the factor combinations of the number 135,007,783?
A:
Positive:
1 x 13500778337 x 3648859
Negative:
-1 x -135007783-37 x -3648859
A:
Positive:
1 x 13500778337 x 3648859
Negative:
-1 x -135007783-37 x -3648859
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 135,007,783, 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 | 135,007,783 | |
-1 | -135,007,783 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 135,007,783.
Example:
1 x 135,007,783 = 135,007,783
and
-1 x -135,007,783 = 135,007,783
Notice both answers equal 135,007,783
With that explanation out of the way, let's continue. Next, we take the number 135,007,783 and divide it by 2:
135,007,783 ÷ 2 = 67,503,891.5
If the quotient is a whole number, then 2 and 67,503,891.5 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 | 135,007,783 | |
-1 | -135,007,783 |
Now, we try dividing 135,007,783 by 3:
135,007,783 ÷ 3 = 45,002,594.3333
If the quotient is a whole number, then 3 and 45,002,594.3333 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 | 135,007,783 | |
-1 | -135,007,783 |
Let's try dividing by 4:
135,007,783 ÷ 4 = 33,751,945.75
If the quotient is a whole number, then 4 and 33,751,945.75 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 | 135,007,783 | |
-1 | 135,007,783 |
If you did it right, you will end up with this table:
1 | 37 | 3,648,859 | 135,007,783 |
-1 | -37 | -3,648,859 | -135,007,783 |
Here are some more numbers to try:
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