Q: What are the factor combinations of the number 347,267?
A:
Positive:
1 x 347267239 x 1453
Negative:
-1 x -347267-239 x -1453
A:
Positive:
1 x 347267239 x 1453
Negative:
-1 x -347267-239 x -1453
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 347,267, 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 | 347,267 | |
-1 | -347,267 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 347,267.
Example:
1 x 347,267 = 347,267
and
-1 x -347,267 = 347,267
Notice both answers equal 347,267
With that explanation out of the way, let's continue. Next, we take the number 347,267 and divide it by 2:
347,267 ÷ 2 = 173,633.5
If the quotient is a whole number, then 2 and 173,633.5 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 | 347,267 | |
-1 | -347,267 |
Now, we try dividing 347,267 by 3:
347,267 ÷ 3 = 115,755.6667
If the quotient is a whole number, then 3 and 115,755.6667 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 | 347,267 | |
-1 | -347,267 |
Let's try dividing by 4:
347,267 ÷ 4 = 86,816.75
If the quotient is a whole number, then 4 and 86,816.75 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 | 347,267 | |
-1 | 347,267 |
If you did it right, you will end up with this table:
1 | 239 | 1,453 | 347,267 |
-1 | -239 | -1,453 | -347,267 |
Here are some more numbers to try:
Try the factor calculator