Q: What are the factor combinations of the number 746,911?
A:
Positive:
1 x 74691111 x 67901
Negative:
-1 x -746911-11 x -67901
A:
Positive:
1 x 74691111 x 67901
Negative:
-1 x -746911-11 x -67901
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 746,911, 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 | 746,911 | |
-1 | -746,911 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 746,911.
Example:
1 x 746,911 = 746,911
and
-1 x -746,911 = 746,911
Notice both answers equal 746,911
With that explanation out of the way, let's continue. Next, we take the number 746,911 and divide it by 2:
746,911 ÷ 2 = 373,455.5
If the quotient is a whole number, then 2 and 373,455.5 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 | 746,911 | |
-1 | -746,911 |
Now, we try dividing 746,911 by 3:
746,911 ÷ 3 = 248,970.3333
If the quotient is a whole number, then 3 and 248,970.3333 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 | 746,911 | |
-1 | -746,911 |
Let's try dividing by 4:
746,911 ÷ 4 = 186,727.75
If the quotient is a whole number, then 4 and 186,727.75 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 | 746,911 | |
-1 | 746,911 |
If you did it right, you will end up with this table:
1 | 11 | 67,901 | 746,911 |
-1 | -11 | -67,901 | -746,911 |
Here are some more numbers to try:
Try the factor calculator