Q: What are the factor combinations of the number 105,503,303?
A:
Positive:
1 x 1055033034733 x 22291
Negative:
-1 x -105503303-4733 x -22291
A:
Positive:
1 x 1055033034733 x 22291
Negative:
-1 x -105503303-4733 x -22291
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 105,503,303, 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 | 105,503,303 | |
-1 | -105,503,303 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 105,503,303.
Example:
1 x 105,503,303 = 105,503,303
and
-1 x -105,503,303 = 105,503,303
Notice both answers equal 105,503,303
With that explanation out of the way, let's continue. Next, we take the number 105,503,303 and divide it by 2:
105,503,303 ÷ 2 = 52,751,651.5
If the quotient is a whole number, then 2 and 52,751,651.5 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 | 105,503,303 | |
-1 | -105,503,303 |
Now, we try dividing 105,503,303 by 3:
105,503,303 ÷ 3 = 35,167,767.6667
If the quotient is a whole number, then 3 and 35,167,767.6667 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 | 105,503,303 | |
-1 | -105,503,303 |
Let's try dividing by 4:
105,503,303 ÷ 4 = 26,375,825.75
If the quotient is a whole number, then 4 and 26,375,825.75 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 | 105,503,303 | |
-1 | 105,503,303 |
If you did it right, you will end up with this table:
1 | 4,733 | 22,291 | 105,503,303 |
-1 | -4,733 | -22,291 | -105,503,303 |
Here are some more numbers to try:
Try the factor calculator