Q: What are the factor combinations of the number 83,629?
A:
Positive:
1 x 836297 x 1194713 x 643391 x 919
Negative:
-1 x -83629-7 x -11947-13 x -6433-91 x -919
A:
Positive:
1 x 836297 x 1194713 x 643391 x 919
Negative:
-1 x -83629-7 x -11947-13 x -6433-91 x -919
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 83,629, 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 | 83,629 | |
-1 | -83,629 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 83,629.
Example:
1 x 83,629 = 83,629
and
-1 x -83,629 = 83,629
Notice both answers equal 83,629
With that explanation out of the way, let's continue. Next, we take the number 83,629 and divide it by 2:
83,629 ÷ 2 = 41,814.5
If the quotient is a whole number, then 2 and 41,814.5 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 | 83,629 | |
-1 | -83,629 |
Now, we try dividing 83,629 by 3:
83,629 ÷ 3 = 27,876.3333
If the quotient is a whole number, then 3 and 27,876.3333 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 | 83,629 | |
-1 | -83,629 |
Let's try dividing by 4:
83,629 ÷ 4 = 20,907.25
If the quotient is a whole number, then 4 and 20,907.25 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 | 83,629 | |
-1 | 83,629 |
If you did it right, you will end up with this table:
1 | 7 | 13 | 91 | 919 | 6,433 | 11,947 | 83,629 |
-1 | -7 | -13 | -91 | -919 | -6,433 | -11,947 | -83,629 |
Here are some more numbers to try:
Try the factor calculator