Q: What are the factor combinations of the number 89,713?
A:
Positive:
1 x 8971313 x 690167 x 1339103 x 871
Negative:
-1 x -89713-13 x -6901-67 x -1339-103 x -871
A:
Positive:
1 x 8971313 x 690167 x 1339103 x 871
Negative:
-1 x -89713-13 x -6901-67 x -1339-103 x -871
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 89,713, 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 | 89,713 | |
-1 | -89,713 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 89,713.
Example:
1 x 89,713 = 89,713
and
-1 x -89,713 = 89,713
Notice both answers equal 89,713
With that explanation out of the way, let's continue. Next, we take the number 89,713 and divide it by 2:
89,713 ÷ 2 = 44,856.5
If the quotient is a whole number, then 2 and 44,856.5 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 | 89,713 | |
-1 | -89,713 |
Now, we try dividing 89,713 by 3:
89,713 ÷ 3 = 29,904.3333
If the quotient is a whole number, then 3 and 29,904.3333 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 | 89,713 | |
-1 | -89,713 |
Let's try dividing by 4:
89,713 ÷ 4 = 22,428.25
If the quotient is a whole number, then 4 and 22,428.25 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 | 89,713 | |
-1 | 89,713 |
If you did it right, you will end up with this table:
1 | 13 | 67 | 103 | 871 | 1,339 | 6,901 | 89,713 |
-1 | -13 | -67 | -103 | -871 | -1,339 | -6,901 | -89,713 |
Here are some more numbers to try:
Try the factor calculator