Q: What are the factor combinations of the number 709,567?
A:
Positive:
1 x 70956783 x 8549103 x 6889
Negative:
-1 x -709567-83 x -8549-103 x -6889
A:
Positive:
1 x 70956783 x 8549103 x 6889
Negative:
-1 x -709567-83 x -8549-103 x -6889
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 709,567, 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 | 709,567 | |
-1 | -709,567 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 709,567.
Example:
1 x 709,567 = 709,567
and
-1 x -709,567 = 709,567
Notice both answers equal 709,567
With that explanation out of the way, let's continue. Next, we take the number 709,567 and divide it by 2:
709,567 ÷ 2 = 354,783.5
If the quotient is a whole number, then 2 and 354,783.5 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 | 709,567 | |
-1 | -709,567 |
Now, we try dividing 709,567 by 3:
709,567 ÷ 3 = 236,522.3333
If the quotient is a whole number, then 3 and 236,522.3333 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 | 709,567 | |
-1 | -709,567 |
Let's try dividing by 4:
709,567 ÷ 4 = 177,391.75
If the quotient is a whole number, then 4 and 177,391.75 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 | 709,567 | |
-1 | 709,567 |
If you did it right, you will end up with this table:
1 | 83 | 103 | 6,889 | 8,549 | 709,567 |
-1 | -83 | -103 | -6,889 | -8,549 | -709,567 |
Here are some more numbers to try:
Try the factor calculator