Q: What are the factor combinations of the number 36,547?
A:
Positive:
1 x 365477 x 522123 x 1589161 x 227
Negative:
-1 x -36547-7 x -5221-23 x -1589-161 x -227
A:
Positive:
1 x 365477 x 522123 x 1589161 x 227
Negative:
-1 x -36547-7 x -5221-23 x -1589-161 x -227
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 36,547, 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 | 36,547 | |
-1 | -36,547 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 36,547.
Example:
1 x 36,547 = 36,547
and
-1 x -36,547 = 36,547
Notice both answers equal 36,547
With that explanation out of the way, let's continue. Next, we take the number 36,547 and divide it by 2:
36,547 ÷ 2 = 18,273.5
If the quotient is a whole number, then 2 and 18,273.5 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 | 36,547 | |
-1 | -36,547 |
Now, we try dividing 36,547 by 3:
36,547 ÷ 3 = 12,182.3333
If the quotient is a whole number, then 3 and 12,182.3333 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 | 36,547 | |
-1 | -36,547 |
Let's try dividing by 4:
36,547 ÷ 4 = 9,136.75
If the quotient is a whole number, then 4 and 9,136.75 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 | 36,547 | |
-1 | 36,547 |
If you did it right, you will end up with this table:
1 | 7 | 23 | 161 | 227 | 1,589 | 5,221 | 36,547 |
-1 | -7 | -23 | -161 | -227 | -1,589 | -5,221 | -36,547 |
Here are some more numbers to try:
Try the factor calculator