Q: What are the factor combinations of the number 646,279?
A:
Positive:
1 x 64627937 x 17467
Negative:
-1 x -646279-37 x -17467
A:
Positive:
1 x 64627937 x 17467
Negative:
-1 x -646279-37 x -17467
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 646,279, 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 | 646,279 | |
-1 | -646,279 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 646,279.
Example:
1 x 646,279 = 646,279
and
-1 x -646,279 = 646,279
Notice both answers equal 646,279
With that explanation out of the way, let's continue. Next, we take the number 646,279 and divide it by 2:
646,279 ÷ 2 = 323,139.5
If the quotient is a whole number, then 2 and 323,139.5 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 | 646,279 | |
-1 | -646,279 |
Now, we try dividing 646,279 by 3:
646,279 ÷ 3 = 215,426.3333
If the quotient is a whole number, then 3 and 215,426.3333 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 | 646,279 | |
-1 | -646,279 |
Let's try dividing by 4:
646,279 ÷ 4 = 161,569.75
If the quotient is a whole number, then 4 and 161,569.75 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 | 646,279 | |
-1 | 646,279 |
If you did it right, you will end up with this table:
1 | 37 | 17,467 | 646,279 |
-1 | -37 | -17,467 | -646,279 |
Here are some more numbers to try:
Try the factor calculator