Q: What are the factor combinations of the number 688,475?
A:
Positive:
1 x 6884755 x 13769525 x 27539
Negative:
-1 x -688475-5 x -137695-25 x -27539
A:
Positive:
1 x 6884755 x 13769525 x 27539
Negative:
-1 x -688475-5 x -137695-25 x -27539
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 688,475, 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 | 688,475 | |
-1 | -688,475 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 688,475.
Example:
1 x 688,475 = 688,475
and
-1 x -688,475 = 688,475
Notice both answers equal 688,475
With that explanation out of the way, let's continue. Next, we take the number 688,475 and divide it by 2:
688,475 ÷ 2 = 344,237.5
If the quotient is a whole number, then 2 and 344,237.5 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 | 688,475 | |
-1 | -688,475 |
Now, we try dividing 688,475 by 3:
688,475 ÷ 3 = 229,491.6667
If the quotient is a whole number, then 3 and 229,491.6667 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 | 688,475 | |
-1 | -688,475 |
Let's try dividing by 4:
688,475 ÷ 4 = 172,118.75
If the quotient is a whole number, then 4 and 172,118.75 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 | 688,475 | |
-1 | 688,475 |
If you did it right, you will end up with this table:
1 | 5 | 25 | 27,539 | 137,695 | 688,475 |
-1 | -5 | -25 | -27,539 | -137,695 | -688,475 |
Here are some more numbers to try:
Try the factor calculator