Q: What are the factor combinations of the number 897,733?
A:
Positive:
1 x 89773367 x 13399
Negative:
-1 x -897733-67 x -13399
A:
Positive:
1 x 89773367 x 13399
Negative:
-1 x -897733-67 x -13399
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 897,733, 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 | 897,733 | |
-1 | -897,733 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 897,733.
Example:
1 x 897,733 = 897,733
and
-1 x -897,733 = 897,733
Notice both answers equal 897,733
With that explanation out of the way, let's continue. Next, we take the number 897,733 and divide it by 2:
897,733 ÷ 2 = 448,866.5
If the quotient is a whole number, then 2 and 448,866.5 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 | 897,733 | |
-1 | -897,733 |
Now, we try dividing 897,733 by 3:
897,733 ÷ 3 = 299,244.3333
If the quotient is a whole number, then 3 and 299,244.3333 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 | 897,733 | |
-1 | -897,733 |
Let's try dividing by 4:
897,733 ÷ 4 = 224,433.25
If the quotient is a whole number, then 4 and 224,433.25 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 | 897,733 | |
-1 | 897,733 |
If you did it right, you will end up with this table:
1 | 67 | 13,399 | 897,733 |
-1 | -67 | -13,399 | -897,733 |
Here are some more numbers to try:
Try the factor calculator