Q: What are the factor combinations of the number 343,637?
A:
Positive:
1 x 3436377 x 4909149 x 7013
Negative:
-1 x -343637-7 x -49091-49 x -7013
A:
Positive:
1 x 3436377 x 4909149 x 7013
Negative:
-1 x -343637-7 x -49091-49 x -7013
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 343,637, 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 | 343,637 | |
-1 | -343,637 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 343,637.
Example:
1 x 343,637 = 343,637
and
-1 x -343,637 = 343,637
Notice both answers equal 343,637
With that explanation out of the way, let's continue. Next, we take the number 343,637 and divide it by 2:
343,637 ÷ 2 = 171,818.5
If the quotient is a whole number, then 2 and 171,818.5 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 | 343,637 | |
-1 | -343,637 |
Now, we try dividing 343,637 by 3:
343,637 ÷ 3 = 114,545.6667
If the quotient is a whole number, then 3 and 114,545.6667 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 | 343,637 | |
-1 | -343,637 |
Let's try dividing by 4:
343,637 ÷ 4 = 85,909.25
If the quotient is a whole number, then 4 and 85,909.25 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 | 343,637 | |
-1 | 343,637 |
If you did it right, you will end up with this table:
1 | 7 | 49 | 7,013 | 49,091 | 343,637 |
-1 | -7 | -49 | -7,013 | -49,091 | -343,637 |
Here are some more numbers to try:
Try the factor calculator