Q: What are the factor combinations of the number 336,107?
A:
Positive:
1 x 33610717 x 19771289 x 1163
Negative:
-1 x -336107-17 x -19771-289 x -1163
A:
Positive:
1 x 33610717 x 19771289 x 1163
Negative:
-1 x -336107-17 x -19771-289 x -1163
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 336,107, 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 | 336,107 | |
-1 | -336,107 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 336,107.
Example:
1 x 336,107 = 336,107
and
-1 x -336,107 = 336,107
Notice both answers equal 336,107
With that explanation out of the way, let's continue. Next, we take the number 336,107 and divide it by 2:
336,107 ÷ 2 = 168,053.5
If the quotient is a whole number, then 2 and 168,053.5 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 | 336,107 | |
-1 | -336,107 |
Now, we try dividing 336,107 by 3:
336,107 ÷ 3 = 112,035.6667
If the quotient is a whole number, then 3 and 112,035.6667 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 | 336,107 | |
-1 | -336,107 |
Let's try dividing by 4:
336,107 ÷ 4 = 84,026.75
If the quotient is a whole number, then 4 and 84,026.75 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 | 336,107 | |
-1 | 336,107 |
If you did it right, you will end up with this table:
1 | 17 | 289 | 1,163 | 19,771 | 336,107 |
-1 | -17 | -289 | -1,163 | -19,771 | -336,107 |
Here are some more numbers to try:
Try the factor calculator