Q: What are the factor combinations of the number 23,643,509?
A:
Positive:
1 x 23643509761 x 31069
Negative:
-1 x -23643509-761 x -31069
A:
Positive:
1 x 23643509761 x 31069
Negative:
-1 x -23643509-761 x -31069
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 23,643,509, 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 | 23,643,509 | |
-1 | -23,643,509 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 23,643,509.
Example:
1 x 23,643,509 = 23,643,509
and
-1 x -23,643,509 = 23,643,509
Notice both answers equal 23,643,509
With that explanation out of the way, let's continue. Next, we take the number 23,643,509 and divide it by 2:
23,643,509 ÷ 2 = 11,821,754.5
If the quotient is a whole number, then 2 and 11,821,754.5 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 | 23,643,509 | |
-1 | -23,643,509 |
Now, we try dividing 23,643,509 by 3:
23,643,509 ÷ 3 = 7,881,169.6667
If the quotient is a whole number, then 3 and 7,881,169.6667 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 | 23,643,509 | |
-1 | -23,643,509 |
Let's try dividing by 4:
23,643,509 ÷ 4 = 5,910,877.25
If the quotient is a whole number, then 4 and 5,910,877.25 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 | 23,643,509 | |
-1 | 23,643,509 |
If you did it right, you will end up with this table:
1 | 761 | 31,069 | 23,643,509 |
-1 | -761 | -31,069 | -23,643,509 |
Here are some more numbers to try:
Try the factor calculator