Q: What are the factor combinations of the number 23,500,351?
A:
Positive:
1 x 235003517 x 335719349 x 479599
Negative:
-1 x -23500351-7 x -3357193-49 x -479599
A:
Positive:
1 x 235003517 x 335719349 x 479599
Negative:
-1 x -23500351-7 x -3357193-49 x -479599
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 23,500,351, 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 | 23,500,351 | |
-1 | -23,500,351 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 23,500,351.
Example:
1 x 23,500,351 = 23,500,351
and
-1 x -23,500,351 = 23,500,351
Notice both answers equal 23,500,351
With that explanation out of the way, let's continue. Next, we take the number 23,500,351 and divide it by 2:
23,500,351 ÷ 2 = 11,750,175.5
If the quotient is a whole number, then 2 and 11,750,175.5 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 | 23,500,351 | |
-1 | -23,500,351 |
Now, we try dividing 23,500,351 by 3:
23,500,351 ÷ 3 = 7,833,450.3333
If the quotient is a whole number, then 3 and 7,833,450.3333 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 | 23,500,351 | |
-1 | -23,500,351 |
Let's try dividing by 4:
23,500,351 ÷ 4 = 5,875,087.75
If the quotient is a whole number, then 4 and 5,875,087.75 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 | 23,500,351 | |
-1 | 23,500,351 |
If you did it right, you will end up with this table:
1 | 7 | 49 | 479,599 | 3,357,193 | 23,500,351 |
-1 | -7 | -49 | -479,599 | -3,357,193 | -23,500,351 |
Here are some more numbers to try:
Try the factor calculator