Q: What are the factor combinations of the number 413,893?
A:
Positive:
1 x 413893127 x 3259
Negative:
-1 x -413893-127 x -3259
A:
Positive:
1 x 413893127 x 3259
Negative:
-1 x -413893-127 x -3259
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 413,893, 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 | 413,893 | |
-1 | -413,893 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 413,893.
Example:
1 x 413,893 = 413,893
and
-1 x -413,893 = 413,893
Notice both answers equal 413,893
With that explanation out of the way, let's continue. Next, we take the number 413,893 and divide it by 2:
413,893 ÷ 2 = 206,946.5
If the quotient is a whole number, then 2 and 206,946.5 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 | 413,893 | |
-1 | -413,893 |
Now, we try dividing 413,893 by 3:
413,893 ÷ 3 = 137,964.3333
If the quotient is a whole number, then 3 and 137,964.3333 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 | 413,893 | |
-1 | -413,893 |
Let's try dividing by 4:
413,893 ÷ 4 = 103,473.25
If the quotient is a whole number, then 4 and 103,473.25 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 | 413,893 | |
-1 | 413,893 |
If you did it right, you will end up with this table:
1 | 127 | 3,259 | 413,893 |
-1 | -127 | -3,259 | -413,893 |
Here are some more numbers to try:
Try the factor calculator