Q: What are the factor combinations of the number 340,543?
A:
Positive:
1 x 3405437 x 48649
Negative:
-1 x -340543-7 x -48649
A:
Positive:
1 x 3405437 x 48649
Negative:
-1 x -340543-7 x -48649
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 340,543, 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 | 340,543 | |
-1 | -340,543 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 340,543.
Example:
1 x 340,543 = 340,543
and
-1 x -340,543 = 340,543
Notice both answers equal 340,543
With that explanation out of the way, let's continue. Next, we take the number 340,543 and divide it by 2:
340,543 ÷ 2 = 170,271.5
If the quotient is a whole number, then 2 and 170,271.5 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 | 340,543 | |
-1 | -340,543 |
Now, we try dividing 340,543 by 3:
340,543 ÷ 3 = 113,514.3333
If the quotient is a whole number, then 3 and 113,514.3333 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 | 340,543 | |
-1 | -340,543 |
Let's try dividing by 4:
340,543 ÷ 4 = 85,135.75
If the quotient is a whole number, then 4 and 85,135.75 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 | 340,543 | |
-1 | 340,543 |
If you did it right, you will end up with this table:
1 | 7 | 48,649 | 340,543 |
-1 | -7 | -48,649 | -340,543 |
Here are some more numbers to try:
Try the factor calculator