Q: What are the factor combinations of the number 460,303?
A:
Positive:
1 x 460303293 x 1571
Negative:
-1 x -460303-293 x -1571
A:
Positive:
1 x 460303293 x 1571
Negative:
-1 x -460303-293 x -1571
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 460,303, 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 | 460,303 | |
-1 | -460,303 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 460,303.
Example:
1 x 460,303 = 460,303
and
-1 x -460,303 = 460,303
Notice both answers equal 460,303
With that explanation out of the way, let's continue. Next, we take the number 460,303 and divide it by 2:
460,303 ÷ 2 = 230,151.5
If the quotient is a whole number, then 2 and 230,151.5 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 | 460,303 | |
-1 | -460,303 |
Now, we try dividing 460,303 by 3:
460,303 ÷ 3 = 153,434.3333
If the quotient is a whole number, then 3 and 153,434.3333 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 | 460,303 | |
-1 | -460,303 |
Let's try dividing by 4:
460,303 ÷ 4 = 115,075.75
If the quotient is a whole number, then 4 and 115,075.75 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 | 460,303 | |
-1 | 460,303 |
If you did it right, you will end up with this table:
1 | 293 | 1,571 | 460,303 |
-1 | -293 | -1,571 | -460,303 |
Here are some more numbers to try:
Try the factor calculator