Q: What are the factor combinations of the number 37,639?
A:
Positive:
1 x 376397 x 537719 x 1981133 x 283
Negative:
-1 x -37639-7 x -5377-19 x -1981-133 x -283
A:
Positive:
1 x 376397 x 537719 x 1981133 x 283
Negative:
-1 x -37639-7 x -5377-19 x -1981-133 x -283
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 37,639, 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 | 37,639 | |
-1 | -37,639 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 37,639.
Example:
1 x 37,639 = 37,639
and
-1 x -37,639 = 37,639
Notice both answers equal 37,639
With that explanation out of the way, let's continue. Next, we take the number 37,639 and divide it by 2:
37,639 ÷ 2 = 18,819.5
If the quotient is a whole number, then 2 and 18,819.5 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 | 37,639 | |
-1 | -37,639 |
Now, we try dividing 37,639 by 3:
37,639 ÷ 3 = 12,546.3333
If the quotient is a whole number, then 3 and 12,546.3333 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 | 37,639 | |
-1 | -37,639 |
Let's try dividing by 4:
37,639 ÷ 4 = 9,409.75
If the quotient is a whole number, then 4 and 9,409.75 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 | 37,639 | |
-1 | 37,639 |
If you did it right, you will end up with this table:
1 | 7 | 19 | 133 | 283 | 1,981 | 5,377 | 37,639 |
-1 | -7 | -19 | -133 | -283 | -1,981 | -5,377 | -37,639 |
Here are some more numbers to try:
Try the factor calculator