Q: What are the factor combinations of the number 78,299?
A:
Positive:
1 x 7829913 x 602319 x 4121247 x 317
Negative:
-1 x -78299-13 x -6023-19 x -4121-247 x -317
A:
Positive:
1 x 7829913 x 602319 x 4121247 x 317
Negative:
-1 x -78299-13 x -6023-19 x -4121-247 x -317
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 78,299, 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 | 78,299 | |
-1 | -78,299 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 78,299.
Example:
1 x 78,299 = 78,299
and
-1 x -78,299 = 78,299
Notice both answers equal 78,299
With that explanation out of the way, let's continue. Next, we take the number 78,299 and divide it by 2:
78,299 ÷ 2 = 39,149.5
If the quotient is a whole number, then 2 and 39,149.5 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 | 78,299 | |
-1 | -78,299 |
Now, we try dividing 78,299 by 3:
78,299 ÷ 3 = 26,099.6667
If the quotient is a whole number, then 3 and 26,099.6667 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 | 78,299 | |
-1 | -78,299 |
Let's try dividing by 4:
78,299 ÷ 4 = 19,574.75
If the quotient is a whole number, then 4 and 19,574.75 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 | 78,299 | |
-1 | 78,299 |
If you did it right, you will end up with this table:
1 | 13 | 19 | 247 | 317 | 4,121 | 6,023 | 78,299 |
-1 | -13 | -19 | -247 | -317 | -4,121 | -6,023 | -78,299 |
Here are some more numbers to try:
Try the factor calculator