Q: What are the factor combinations of the number 762,209?
A:
Positive:
1 x 7622097 x 108887
Negative:
-1 x -762209-7 x -108887
A:
Positive:
1 x 7622097 x 108887
Negative:
-1 x -762209-7 x -108887
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 762,209, 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 | 762,209 | |
-1 | -762,209 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 762,209.
Example:
1 x 762,209 = 762,209
and
-1 x -762,209 = 762,209
Notice both answers equal 762,209
With that explanation out of the way, let's continue. Next, we take the number 762,209 and divide it by 2:
762,209 ÷ 2 = 381,104.5
If the quotient is a whole number, then 2 and 381,104.5 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 | 762,209 | |
-1 | -762,209 |
Now, we try dividing 762,209 by 3:
762,209 ÷ 3 = 254,069.6667
If the quotient is a whole number, then 3 and 254,069.6667 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 | 762,209 | |
-1 | -762,209 |
Let's try dividing by 4:
762,209 ÷ 4 = 190,552.25
If the quotient is a whole number, then 4 and 190,552.25 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 | 762,209 | |
-1 | 762,209 |
If you did it right, you will end up with this table:
1 | 7 | 108,887 | 762,209 |
-1 | -7 | -108,887 | -762,209 |
Here are some more numbers to try:
Try the factor calculator