Q: What are the factor combinations of the number 28,853,321?
A:
Positive:
1 x 288533217 x 4121903
Negative:
-1 x -28853321-7 x -4121903
A:
Positive:
1 x 288533217 x 4121903
Negative:
-1 x -28853321-7 x -4121903
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 28,853,321, 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 | 28,853,321 | |
-1 | -28,853,321 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 28,853,321.
Example:
1 x 28,853,321 = 28,853,321
and
-1 x -28,853,321 = 28,853,321
Notice both answers equal 28,853,321
With that explanation out of the way, let's continue. Next, we take the number 28,853,321 and divide it by 2:
28,853,321 ÷ 2 = 14,426,660.5
If the quotient is a whole number, then 2 and 14,426,660.5 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 | 28,853,321 | |
-1 | -28,853,321 |
Now, we try dividing 28,853,321 by 3:
28,853,321 ÷ 3 = 9,617,773.6667
If the quotient is a whole number, then 3 and 9,617,773.6667 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 | 28,853,321 | |
-1 | -28,853,321 |
Let's try dividing by 4:
28,853,321 ÷ 4 = 7,213,330.25
If the quotient is a whole number, then 4 and 7,213,330.25 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 | 28,853,321 | |
-1 | 28,853,321 |
If you did it right, you will end up with this table:
1 | 7 | 4,121,903 | 28,853,321 |
-1 | -7 | -4,121,903 | -28,853,321 |
Here are some more numbers to try:
Try the factor calculator