Q: What are the factor combinations of the number 745,163?
A:
Positive:
1 x 745163701 x 1063
Negative:
-1 x -745163-701 x -1063
A:
Positive:
1 x 745163701 x 1063
Negative:
-1 x -745163-701 x -1063
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 745,163, 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 | 745,163 | |
-1 | -745,163 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 745,163.
Example:
1 x 745,163 = 745,163
and
-1 x -745,163 = 745,163
Notice both answers equal 745,163
With that explanation out of the way, let's continue. Next, we take the number 745,163 and divide it by 2:
745,163 ÷ 2 = 372,581.5
If the quotient is a whole number, then 2 and 372,581.5 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 | 745,163 | |
-1 | -745,163 |
Now, we try dividing 745,163 by 3:
745,163 ÷ 3 = 248,387.6667
If the quotient is a whole number, then 3 and 248,387.6667 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 | 745,163 | |
-1 | -745,163 |
Let's try dividing by 4:
745,163 ÷ 4 = 186,290.75
If the quotient is a whole number, then 4 and 186,290.75 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 | 745,163 | |
-1 | 745,163 |
If you did it right, you will end up with this table:
1 | 701 | 1,063 | 745,163 |
-1 | -701 | -1,063 | -745,163 |
Here are some more numbers to try:
Try the factor calculator