Q: What are the factor combinations of the number 96,719?
A:
Positive:
1 x 967197 x 1381741 x 2359287 x 337
Negative:
-1 x -96719-7 x -13817-41 x -2359-287 x -337
A:
Positive:
1 x 967197 x 1381741 x 2359287 x 337
Negative:
-1 x -96719-7 x -13817-41 x -2359-287 x -337
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 96,719, 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 | 96,719 | |
-1 | -96,719 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 96,719.
Example:
1 x 96,719 = 96,719
and
-1 x -96,719 = 96,719
Notice both answers equal 96,719
With that explanation out of the way, let's continue. Next, we take the number 96,719 and divide it by 2:
96,719 ÷ 2 = 48,359.5
If the quotient is a whole number, then 2 and 48,359.5 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 | 96,719 | |
-1 | -96,719 |
Now, we try dividing 96,719 by 3:
96,719 ÷ 3 = 32,239.6667
If the quotient is a whole number, then 3 and 32,239.6667 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 | 96,719 | |
-1 | -96,719 |
Let's try dividing by 4:
96,719 ÷ 4 = 24,179.75
If the quotient is a whole number, then 4 and 24,179.75 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 | 96,719 | |
-1 | 96,719 |
If you did it right, you will end up with this table:
1 | 7 | 41 | 287 | 337 | 2,359 | 13,817 | 96,719 |
-1 | -7 | -41 | -287 | -337 | -2,359 | -13,817 | -96,719 |
Here are some more numbers to try:
Try the factor calculator