Q: What are the factor combinations of the number 329,249?
A:
Positive:
1 x 329249337 x 977
Negative:
-1 x -329249-337 x -977
A:
Positive:
1 x 329249337 x 977
Negative:
-1 x -329249-337 x -977
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 329,249, 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 | 329,249 | |
-1 | -329,249 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 329,249.
Example:
1 x 329,249 = 329,249
and
-1 x -329,249 = 329,249
Notice both answers equal 329,249
With that explanation out of the way, let's continue. Next, we take the number 329,249 and divide it by 2:
329,249 ÷ 2 = 164,624.5
If the quotient is a whole number, then 2 and 164,624.5 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 | 329,249 | |
-1 | -329,249 |
Now, we try dividing 329,249 by 3:
329,249 ÷ 3 = 109,749.6667
If the quotient is a whole number, then 3 and 109,749.6667 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 | 329,249 | |
-1 | -329,249 |
Let's try dividing by 4:
329,249 ÷ 4 = 82,312.25
If the quotient is a whole number, then 4 and 82,312.25 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 | 329,249 | |
-1 | 329,249 |
If you did it right, you will end up with this table:
1 | 337 | 977 | 329,249 |
-1 | -337 | -977 | -329,249 |
Here are some more numbers to try:
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