Q: What are the factor combinations of the number 37,259?
A:
Positive:
1 x 3725919 x 196137 x 100753 x 703
Negative:
-1 x -37259-19 x -1961-37 x -1007-53 x -703
A:
Positive:
1 x 3725919 x 196137 x 100753 x 703
Negative:
-1 x -37259-19 x -1961-37 x -1007-53 x -703
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 37,259, 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 | 37,259 | |
-1 | -37,259 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 37,259.
Example:
1 x 37,259 = 37,259
and
-1 x -37,259 = 37,259
Notice both answers equal 37,259
With that explanation out of the way, let's continue. Next, we take the number 37,259 and divide it by 2:
37,259 ÷ 2 = 18,629.5
If the quotient is a whole number, then 2 and 18,629.5 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 | 37,259 | |
-1 | -37,259 |
Now, we try dividing 37,259 by 3:
37,259 ÷ 3 = 12,419.6667
If the quotient is a whole number, then 3 and 12,419.6667 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 | 37,259 | |
-1 | -37,259 |
Let's try dividing by 4:
37,259 ÷ 4 = 9,314.75
If the quotient is a whole number, then 4 and 9,314.75 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 | 37,259 | |
-1 | 37,259 |
If you did it right, you will end up with this table:
1 | 19 | 37 | 53 | 703 | 1,007 | 1,961 | 37,259 |
-1 | -19 | -37 | -53 | -703 | -1,007 | -1,961 | -37,259 |
Here are some more numbers to try:
Try the factor calculator