Q: What are the factor combinations of the number 668,639?
A:
Positive:
1 x 66863931 x 21569
Negative:
-1 x -668639-31 x -21569
A:
Positive:
1 x 66863931 x 21569
Negative:
-1 x -668639-31 x -21569
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 668,639, 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 | 668,639 | |
-1 | -668,639 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 668,639.
Example:
1 x 668,639 = 668,639
and
-1 x -668,639 = 668,639
Notice both answers equal 668,639
With that explanation out of the way, let's continue. Next, we take the number 668,639 and divide it by 2:
668,639 ÷ 2 = 334,319.5
If the quotient is a whole number, then 2 and 334,319.5 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 | 668,639 | |
-1 | -668,639 |
Now, we try dividing 668,639 by 3:
668,639 ÷ 3 = 222,879.6667
If the quotient is a whole number, then 3 and 222,879.6667 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 | 668,639 | |
-1 | -668,639 |
Let's try dividing by 4:
668,639 ÷ 4 = 167,159.75
If the quotient is a whole number, then 4 and 167,159.75 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 | 668,639 | |
-1 | 668,639 |
If you did it right, you will end up with this table:
1 | 31 | 21,569 | 668,639 |
-1 | -31 | -21,569 | -668,639 |
Here are some more numbers to try:
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