Q: What are the factor combinations of the number 463,139?
A:
Positive:
1 x 463139271 x 1709
Negative:
-1 x -463139-271 x -1709
A:
Positive:
1 x 463139271 x 1709
Negative:
-1 x -463139-271 x -1709
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 463,139, 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 | 463,139 | |
-1 | -463,139 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 463,139.
Example:
1 x 463,139 = 463,139
and
-1 x -463,139 = 463,139
Notice both answers equal 463,139
With that explanation out of the way, let's continue. Next, we take the number 463,139 and divide it by 2:
463,139 ÷ 2 = 231,569.5
If the quotient is a whole number, then 2 and 231,569.5 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 | 463,139 | |
-1 | -463,139 |
Now, we try dividing 463,139 by 3:
463,139 ÷ 3 = 154,379.6667
If the quotient is a whole number, then 3 and 154,379.6667 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 | 463,139 | |
-1 | -463,139 |
Let's try dividing by 4:
463,139 ÷ 4 = 115,784.75
If the quotient is a whole number, then 4 and 115,784.75 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 | 463,139 | |
-1 | 463,139 |
If you did it right, you will end up with this table:
1 | 271 | 1,709 | 463,139 |
-1 | -271 | -1,709 | -463,139 |
Here are some more numbers to try:
Try the factor calculator