Q: What are the factor combinations of the number 37,505?
A:
Positive:
1 x 375055 x 750113 x 288565 x 577
Negative:
-1 x -37505-5 x -7501-13 x -2885-65 x -577
A:
Positive:
1 x 375055 x 750113 x 288565 x 577
Negative:
-1 x -37505-5 x -7501-13 x -2885-65 x -577
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 37,505, 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 | 37,505 | |
-1 | -37,505 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 37,505.
Example:
1 x 37,505 = 37,505
and
-1 x -37,505 = 37,505
Notice both answers equal 37,505
With that explanation out of the way, let's continue. Next, we take the number 37,505 and divide it by 2:
37,505 ÷ 2 = 18,752.5
If the quotient is a whole number, then 2 and 18,752.5 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 | 37,505 | |
-1 | -37,505 |
Now, we try dividing 37,505 by 3:
37,505 ÷ 3 = 12,501.6667
If the quotient is a whole number, then 3 and 12,501.6667 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 | 37,505 | |
-1 | -37,505 |
Let's try dividing by 4:
37,505 ÷ 4 = 9,376.25
If the quotient is a whole number, then 4 and 9,376.25 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 | 37,505 | |
-1 | 37,505 |
If you did it right, you will end up with this table:
1 | 5 | 13 | 65 | 577 | 2,885 | 7,501 | 37,505 |
-1 | -5 | -13 | -65 | -577 | -2,885 | -7,501 | -37,505 |
Here are some more numbers to try:
Try the factor calculator