Q: What are the factor combinations of the number 86,245?
A:
Positive:
1 x 862455 x 1724947 x 1835235 x 367
Negative:
-1 x -86245-5 x -17249-47 x -1835-235 x -367
A:
Positive:
1 x 862455 x 1724947 x 1835235 x 367
Negative:
-1 x -86245-5 x -17249-47 x -1835-235 x -367
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 86,245, 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 | 86,245 | |
-1 | -86,245 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 86,245.
Example:
1 x 86,245 = 86,245
and
-1 x -86,245 = 86,245
Notice both answers equal 86,245
With that explanation out of the way, let's continue. Next, we take the number 86,245 and divide it by 2:
86,245 ÷ 2 = 43,122.5
If the quotient is a whole number, then 2 and 43,122.5 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 | 86,245 | |
-1 | -86,245 |
Now, we try dividing 86,245 by 3:
86,245 ÷ 3 = 28,748.3333
If the quotient is a whole number, then 3 and 28,748.3333 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 | 86,245 | |
-1 | -86,245 |
Let's try dividing by 4:
86,245 ÷ 4 = 21,561.25
If the quotient is a whole number, then 4 and 21,561.25 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 | 86,245 | |
-1 | 86,245 |
If you did it right, you will end up with this table:
1 | 5 | 47 | 235 | 367 | 1,835 | 17,249 | 86,245 |
-1 | -5 | -47 | -235 | -367 | -1,835 | -17,249 | -86,245 |
Here are some more numbers to try:
Try the factor calculator