Q: What are the factor combinations of the number 932,137?
A:
Positive:
1 x 93213773 x 12769113 x 8249
Negative:
-1 x -932137-73 x -12769-113 x -8249
A:
Positive:
1 x 93213773 x 12769113 x 8249
Negative:
-1 x -932137-73 x -12769-113 x -8249
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 932,137, 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 | 932,137 | |
-1 | -932,137 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 932,137.
Example:
1 x 932,137 = 932,137
and
-1 x -932,137 = 932,137
Notice both answers equal 932,137
With that explanation out of the way, let's continue. Next, we take the number 932,137 and divide it by 2:
932,137 ÷ 2 = 466,068.5
If the quotient is a whole number, then 2 and 466,068.5 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 | 932,137 | |
-1 | -932,137 |
Now, we try dividing 932,137 by 3:
932,137 ÷ 3 = 310,712.3333
If the quotient is a whole number, then 3 and 310,712.3333 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 | 932,137 | |
-1 | -932,137 |
Let's try dividing by 4:
932,137 ÷ 4 = 233,034.25
If the quotient is a whole number, then 4 and 233,034.25 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 | 932,137 | |
-1 | 932,137 |
If you did it right, you will end up with this table:
1 | 73 | 113 | 8,249 | 12,769 | 932,137 |
-1 | -73 | -113 | -8,249 | -12,769 | -932,137 |
Here are some more numbers to try:
Try the factor calculator