Q: What are the factor combinations of the number 92,131?
A:
Positive:
1 x 9213113 x 708719 x 4849247 x 373
Negative:
-1 x -92131-13 x -7087-19 x -4849-247 x -373
A:
Positive:
1 x 9213113 x 708719 x 4849247 x 373
Negative:
-1 x -92131-13 x -7087-19 x -4849-247 x -373
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 92,131, 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 | 92,131 | |
-1 | -92,131 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 92,131.
Example:
1 x 92,131 = 92,131
and
-1 x -92,131 = 92,131
Notice both answers equal 92,131
With that explanation out of the way, let's continue. Next, we take the number 92,131 and divide it by 2:
92,131 ÷ 2 = 46,065.5
If the quotient is a whole number, then 2 and 46,065.5 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 | 92,131 | |
-1 | -92,131 |
Now, we try dividing 92,131 by 3:
92,131 ÷ 3 = 30,710.3333
If the quotient is a whole number, then 3 and 30,710.3333 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 | 92,131 | |
-1 | -92,131 |
Let's try dividing by 4:
92,131 ÷ 4 = 23,032.75
If the quotient is a whole number, then 4 and 23,032.75 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 | 92,131 | |
-1 | 92,131 |
If you did it right, you will end up with this table:
1 | 13 | 19 | 247 | 373 | 4,849 | 7,087 | 92,131 |
-1 | -13 | -19 | -247 | -373 | -4,849 | -7,087 | -92,131 |
Here are some more numbers to try:
Try the factor calculator