Q: What are the factor combinations of the number 88,363?
A:
Positive:
1 x 8836311 x 803329 x 3047277 x 319
Negative:
-1 x -88363-11 x -8033-29 x -3047-277 x -319
A:
Positive:
1 x 8836311 x 803329 x 3047277 x 319
Negative:
-1 x -88363-11 x -8033-29 x -3047-277 x -319
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 88,363, 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 | 88,363 | |
-1 | -88,363 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 88,363.
Example:
1 x 88,363 = 88,363
and
-1 x -88,363 = 88,363
Notice both answers equal 88,363
With that explanation out of the way, let's continue. Next, we take the number 88,363 and divide it by 2:
88,363 ÷ 2 = 44,181.5
If the quotient is a whole number, then 2 and 44,181.5 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 | 88,363 | |
-1 | -88,363 |
Now, we try dividing 88,363 by 3:
88,363 ÷ 3 = 29,454.3333
If the quotient is a whole number, then 3 and 29,454.3333 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 | 88,363 | |
-1 | -88,363 |
Let's try dividing by 4:
88,363 ÷ 4 = 22,090.75
If the quotient is a whole number, then 4 and 22,090.75 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 | 88,363 | |
-1 | 88,363 |
If you did it right, you will end up with this table:
1 | 11 | 29 | 277 | 319 | 3,047 | 8,033 | 88,363 |
-1 | -11 | -29 | -277 | -319 | -3,047 | -8,033 | -88,363 |
Here are some more numbers to try:
Try the factor calculator