Q: What are the factor combinations of the number 73,787?
A:
Positive:
1 x 737877 x 1054183 x 889127 x 581
Negative:
-1 x -73787-7 x -10541-83 x -889-127 x -581
A:
Positive:
1 x 737877 x 1054183 x 889127 x 581
Negative:
-1 x -73787-7 x -10541-83 x -889-127 x -581
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 73,787, 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 | 73,787 | |
-1 | -73,787 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 73,787.
Example:
1 x 73,787 = 73,787
and
-1 x -73,787 = 73,787
Notice both answers equal 73,787
With that explanation out of the way, let's continue. Next, we take the number 73,787 and divide it by 2:
73,787 ÷ 2 = 36,893.5
If the quotient is a whole number, then 2 and 36,893.5 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 | 73,787 | |
-1 | -73,787 |
Now, we try dividing 73,787 by 3:
73,787 ÷ 3 = 24,595.6667
If the quotient is a whole number, then 3 and 24,595.6667 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 | 73,787 | |
-1 | -73,787 |
Let's try dividing by 4:
73,787 ÷ 4 = 18,446.75
If the quotient is a whole number, then 4 and 18,446.75 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 | 73,787 | |
-1 | 73,787 |
If you did it right, you will end up with this table:
1 | 7 | 83 | 127 | 581 | 889 | 10,541 | 73,787 |
-1 | -7 | -83 | -127 | -581 | -889 | -10,541 | -73,787 |
Here are some more numbers to try:
Try the factor calculator