Q: What are the factor combinations of the number 360,043?
A:
Positive:
1 x 36004317 x 21179
Negative:
-1 x -360043-17 x -21179
A:
Positive:
1 x 36004317 x 21179
Negative:
-1 x -360043-17 x -21179
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 360,043, 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 | 360,043 | |
-1 | -360,043 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 360,043.
Example:
1 x 360,043 = 360,043
and
-1 x -360,043 = 360,043
Notice both answers equal 360,043
With that explanation out of the way, let's continue. Next, we take the number 360,043 and divide it by 2:
360,043 ÷ 2 = 180,021.5
If the quotient is a whole number, then 2 and 180,021.5 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 | 360,043 | |
-1 | -360,043 |
Now, we try dividing 360,043 by 3:
360,043 ÷ 3 = 120,014.3333
If the quotient is a whole number, then 3 and 120,014.3333 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 | 360,043 | |
-1 | -360,043 |
Let's try dividing by 4:
360,043 ÷ 4 = 90,010.75
If the quotient is a whole number, then 4 and 90,010.75 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 | 360,043 | |
-1 | 360,043 |
If you did it right, you will end up with this table:
1 | 17 | 21,179 | 360,043 |
-1 | -17 | -21,179 | -360,043 |
Here are some more numbers to try:
Try the factor calculator