Q: What are the factor combinations of the number 23,234,623?
A:
Positive:
1 x 2323462323 x 1010201
Negative:
-1 x -23234623-23 x -1010201
A:
Positive:
1 x 2323462323 x 1010201
Negative:
-1 x -23234623-23 x -1010201
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 23,234,623, 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 | 23,234,623 | |
-1 | -23,234,623 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 23,234,623.
Example:
1 x 23,234,623 = 23,234,623
and
-1 x -23,234,623 = 23,234,623
Notice both answers equal 23,234,623
With that explanation out of the way, let's continue. Next, we take the number 23,234,623 and divide it by 2:
23,234,623 ÷ 2 = 11,617,311.5
If the quotient is a whole number, then 2 and 11,617,311.5 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 | 23,234,623 | |
-1 | -23,234,623 |
Now, we try dividing 23,234,623 by 3:
23,234,623 ÷ 3 = 7,744,874.3333
If the quotient is a whole number, then 3 and 7,744,874.3333 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 | 23,234,623 | |
-1 | -23,234,623 |
Let's try dividing by 4:
23,234,623 ÷ 4 = 5,808,655.75
If the quotient is a whole number, then 4 and 5,808,655.75 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 | 23,234,623 | |
-1 | 23,234,623 |
If you did it right, you will end up with this table:
1 | 23 | 1,010,201 | 23,234,623 |
-1 | -23 | -1,010,201 | -23,234,623 |
Here are some more numbers to try:
Try the factor calculator