Q: What are the factor combinations of the number 87,635?
A:
Positive:
1 x 876355 x 1752717 x 515585 x 1031
Negative:
-1 x -87635-5 x -17527-17 x -5155-85 x -1031
A:
Positive:
1 x 876355 x 1752717 x 515585 x 1031
Negative:
-1 x -87635-5 x -17527-17 x -5155-85 x -1031
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 87,635, 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 | 87,635 | |
-1 | -87,635 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 87,635.
Example:
1 x 87,635 = 87,635
and
-1 x -87,635 = 87,635
Notice both answers equal 87,635
With that explanation out of the way, let's continue. Next, we take the number 87,635 and divide it by 2:
87,635 ÷ 2 = 43,817.5
If the quotient is a whole number, then 2 and 43,817.5 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 | 87,635 | |
-1 | -87,635 |
Now, we try dividing 87,635 by 3:
87,635 ÷ 3 = 29,211.6667
If the quotient is a whole number, then 3 and 29,211.6667 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 | 87,635 | |
-1 | -87,635 |
Let's try dividing by 4:
87,635 ÷ 4 = 21,908.75
If the quotient is a whole number, then 4 and 21,908.75 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 | 87,635 | |
-1 | 87,635 |
If you did it right, you will end up with this table:
1 | 5 | 17 | 85 | 1,031 | 5,155 | 17,527 | 87,635 |
-1 | -5 | -17 | -85 | -1,031 | -5,155 | -17,527 | -87,635 |
Here are some more numbers to try:
Try the factor calculator