Q: What are the factor combinations of the number 362,567?
A:
Positive:
1 x 362567307 x 1181
Negative:
-1 x -362567-307 x -1181
A:
Positive:
1 x 362567307 x 1181
Negative:
-1 x -362567-307 x -1181
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 362,567, 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 | 362,567 | |
-1 | -362,567 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 362,567.
Example:
1 x 362,567 = 362,567
and
-1 x -362,567 = 362,567
Notice both answers equal 362,567
With that explanation out of the way, let's continue. Next, we take the number 362,567 and divide it by 2:
362,567 ÷ 2 = 181,283.5
If the quotient is a whole number, then 2 and 181,283.5 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 | 362,567 | |
-1 | -362,567 |
Now, we try dividing 362,567 by 3:
362,567 ÷ 3 = 120,855.6667
If the quotient is a whole number, then 3 and 120,855.6667 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 | 362,567 | |
-1 | -362,567 |
Let's try dividing by 4:
362,567 ÷ 4 = 90,641.75
If the quotient is a whole number, then 4 and 90,641.75 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 | 362,567 | |
-1 | 362,567 |
If you did it right, you will end up with this table:
1 | 307 | 1,181 | 362,567 |
-1 | -307 | -1,181 | -362,567 |
Here are some more numbers to try:
Try the factor calculator