Q: What are the factor combinations of the number 90,937?
A:
Positive:
1 x 909377 x 1299111 x 826777 x 1181
Negative:
-1 x -90937-7 x -12991-11 x -8267-77 x -1181
A:
Positive:
1 x 909377 x 1299111 x 826777 x 1181
Negative:
-1 x -90937-7 x -12991-11 x -8267-77 x -1181
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 90,937, 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 | 90,937 | |
-1 | -90,937 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 90,937.
Example:
1 x 90,937 = 90,937
and
-1 x -90,937 = 90,937
Notice both answers equal 90,937
With that explanation out of the way, let's continue. Next, we take the number 90,937 and divide it by 2:
90,937 ÷ 2 = 45,468.5
If the quotient is a whole number, then 2 and 45,468.5 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 | 90,937 | |
-1 | -90,937 |
Now, we try dividing 90,937 by 3:
90,937 ÷ 3 = 30,312.3333
If the quotient is a whole number, then 3 and 30,312.3333 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 | 90,937 | |
-1 | -90,937 |
Let's try dividing by 4:
90,937 ÷ 4 = 22,734.25
If the quotient is a whole number, then 4 and 22,734.25 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 | 90,937 | |
-1 | 90,937 |
If you did it right, you will end up with this table:
1 | 7 | 11 | 77 | 1,181 | 8,267 | 12,991 | 90,937 |
-1 | -7 | -11 | -77 | -1,181 | -8,267 | -12,991 | -90,937 |
Here are some more numbers to try:
Try the factor calculator