Q: What are the factor combinations of the number 532,807?
A:
Positive:
1 x 53280711 x 48437
Negative:
-1 x -532807-11 x -48437
A:
Positive:
1 x 53280711 x 48437
Negative:
-1 x -532807-11 x -48437
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 532,807, 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 | 532,807 | |
-1 | -532,807 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 532,807.
Example:
1 x 532,807 = 532,807
and
-1 x -532,807 = 532,807
Notice both answers equal 532,807
With that explanation out of the way, let's continue. Next, we take the number 532,807 and divide it by 2:
532,807 ÷ 2 = 266,403.5
If the quotient is a whole number, then 2 and 266,403.5 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 | 532,807 | |
-1 | -532,807 |
Now, we try dividing 532,807 by 3:
532,807 ÷ 3 = 177,602.3333
If the quotient is a whole number, then 3 and 177,602.3333 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 | 532,807 | |
-1 | -532,807 |
Let's try dividing by 4:
532,807 ÷ 4 = 133,201.75
If the quotient is a whole number, then 4 and 133,201.75 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 | 532,807 | |
-1 | 532,807 |
If you did it right, you will end up with this table:
1 | 11 | 48,437 | 532,807 |
-1 | -11 | -48,437 | -532,807 |
Here are some more numbers to try:
Try the factor calculator