Q: What are the factor combinations of the number 668,777?
A:
Positive:
1 x 668777223 x 2999
Negative:
-1 x -668777-223 x -2999
A:
Positive:
1 x 668777223 x 2999
Negative:
-1 x -668777-223 x -2999
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 668,777, 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 | 668,777 | |
-1 | -668,777 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 668,777.
Example:
1 x 668,777 = 668,777
and
-1 x -668,777 = 668,777
Notice both answers equal 668,777
With that explanation out of the way, let's continue. Next, we take the number 668,777 and divide it by 2:
668,777 ÷ 2 = 334,388.5
If the quotient is a whole number, then 2 and 334,388.5 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 | 668,777 | |
-1 | -668,777 |
Now, we try dividing 668,777 by 3:
668,777 ÷ 3 = 222,925.6667
If the quotient is a whole number, then 3 and 222,925.6667 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 | 668,777 | |
-1 | -668,777 |
Let's try dividing by 4:
668,777 ÷ 4 = 167,194.25
If the quotient is a whole number, then 4 and 167,194.25 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 | 668,777 | |
-1 | 668,777 |
If you did it right, you will end up with this table:
1 | 223 | 2,999 | 668,777 |
-1 | -223 | -2,999 | -668,777 |
Here are some more numbers to try:
Try the factor calculator