Q: What are the factor combinations of the number 899,011?
A:
Positive:
1 x 89901117 x 52883
Negative:
-1 x -899011-17 x -52883
A:
Positive:
1 x 89901117 x 52883
Negative:
-1 x -899011-17 x -52883
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 899,011, 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 | 899,011 | |
-1 | -899,011 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 899,011.
Example:
1 x 899,011 = 899,011
and
-1 x -899,011 = 899,011
Notice both answers equal 899,011
With that explanation out of the way, let's continue. Next, we take the number 899,011 and divide it by 2:
899,011 ÷ 2 = 449,505.5
If the quotient is a whole number, then 2 and 449,505.5 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 | 899,011 | |
-1 | -899,011 |
Now, we try dividing 899,011 by 3:
899,011 ÷ 3 = 299,670.3333
If the quotient is a whole number, then 3 and 299,670.3333 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 | 899,011 | |
-1 | -899,011 |
Let's try dividing by 4:
899,011 ÷ 4 = 224,752.75
If the quotient is a whole number, then 4 and 224,752.75 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 | 899,011 | |
-1 | 899,011 |
If you did it right, you will end up with this table:
1 | 17 | 52,883 | 899,011 |
-1 | -17 | -52,883 | -899,011 |
Here are some more numbers to try:
Try the factor calculator