Q: What are the factor combinations of the number 53,203?
A:
Positive:
1 x 5320383 x 641
Negative:
-1 x -53203-83 x -641
A:
Positive:
1 x 5320383 x 641
Negative:
-1 x -53203-83 x -641
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 53,203, 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 | 53,203 | |
-1 | -53,203 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 53,203.
Example:
1 x 53,203 = 53,203
and
-1 x -53,203 = 53,203
Notice both answers equal 53,203
With that explanation out of the way, let's continue. Next, we take the number 53,203 and divide it by 2:
53,203 ÷ 2 = 26,601.5
If the quotient is a whole number, then 2 and 26,601.5 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 | 53,203 | |
-1 | -53,203 |
Now, we try dividing 53,203 by 3:
53,203 ÷ 3 = 17,734.3333
If the quotient is a whole number, then 3 and 17,734.3333 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 | 53,203 | |
-1 | -53,203 |
Let's try dividing by 4:
53,203 ÷ 4 = 13,300.75
If the quotient is a whole number, then 4 and 13,300.75 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 | 53,203 | |
-1 | 53,203 |
If you did it right, you will end up with this table:
1 | 83 | 641 | 53,203 |
-1 | -83 | -641 | -53,203 |
Here are some more numbers to try:
Try the factor calculator