Q: What are the factor combinations of the number 466,513?
A:
Positive:
1 x 46651359 x 7907
Negative:
-1 x -466513-59 x -7907
A:
Positive:
1 x 46651359 x 7907
Negative:
-1 x -466513-59 x -7907
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 466,513, 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 | 466,513 | |
-1 | -466,513 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 466,513.
Example:
1 x 466,513 = 466,513
and
-1 x -466,513 = 466,513
Notice both answers equal 466,513
With that explanation out of the way, let's continue. Next, we take the number 466,513 and divide it by 2:
466,513 ÷ 2 = 233,256.5
If the quotient is a whole number, then 2 and 233,256.5 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 | 466,513 | |
-1 | -466,513 |
Now, we try dividing 466,513 by 3:
466,513 ÷ 3 = 155,504.3333
If the quotient is a whole number, then 3 and 155,504.3333 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 | 466,513 | |
-1 | -466,513 |
Let's try dividing by 4:
466,513 ÷ 4 = 116,628.25
If the quotient is a whole number, then 4 and 116,628.25 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 | 466,513 | |
-1 | 466,513 |
If you did it right, you will end up with this table:
1 | 59 | 7,907 | 466,513 |
-1 | -59 | -7,907 | -466,513 |
Here are some more numbers to try:
Try the factor calculator