Q: What are the factor combinations of the number 662,987?
A:
Positive:
1 x 66298713 x 50999169 x 3923
Negative:
-1 x -662987-13 x -50999-169 x -3923
A:
Positive:
1 x 66298713 x 50999169 x 3923
Negative:
-1 x -662987-13 x -50999-169 x -3923
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 662,987, 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 | 662,987 | |
-1 | -662,987 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 662,987.
Example:
1 x 662,987 = 662,987
and
-1 x -662,987 = 662,987
Notice both answers equal 662,987
With that explanation out of the way, let's continue. Next, we take the number 662,987 and divide it by 2:
662,987 ÷ 2 = 331,493.5
If the quotient is a whole number, then 2 and 331,493.5 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 | 662,987 | |
-1 | -662,987 |
Now, we try dividing 662,987 by 3:
662,987 ÷ 3 = 220,995.6667
If the quotient is a whole number, then 3 and 220,995.6667 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 | 662,987 | |
-1 | -662,987 |
Let's try dividing by 4:
662,987 ÷ 4 = 165,746.75
If the quotient is a whole number, then 4 and 165,746.75 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 | 662,987 | |
-1 | 662,987 |
If you did it right, you will end up with this table:
1 | 13 | 169 | 3,923 | 50,999 | 662,987 |
-1 | -13 | -169 | -3,923 | -50,999 | -662,987 |
Here are some more numbers to try:
Try the factor calculator