Q: What are the factor combinations of the number 106,337,515?
A:
Positive:
1 x 1063375155 x 21267503
Negative:
-1 x -106337515-5 x -21267503
A:
Positive:
1 x 1063375155 x 21267503
Negative:
-1 x -106337515-5 x -21267503
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 106,337,515, 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 | 106,337,515 | |
-1 | -106,337,515 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 106,337,515.
Example:
1 x 106,337,515 = 106,337,515
and
-1 x -106,337,515 = 106,337,515
Notice both answers equal 106,337,515
With that explanation out of the way, let's continue. Next, we take the number 106,337,515 and divide it by 2:
106,337,515 ÷ 2 = 53,168,757.5
If the quotient is a whole number, then 2 and 53,168,757.5 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 | 106,337,515 | |
-1 | -106,337,515 |
Now, we try dividing 106,337,515 by 3:
106,337,515 ÷ 3 = 35,445,838.3333
If the quotient is a whole number, then 3 and 35,445,838.3333 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 | 106,337,515 | |
-1 | -106,337,515 |
Let's try dividing by 4:
106,337,515 ÷ 4 = 26,584,378.75
If the quotient is a whole number, then 4 and 26,584,378.75 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 | 106,337,515 | |
-1 | 106,337,515 |
If you did it right, you will end up with this table:
1 | 5 | 21,267,503 | 106,337,515 |
-1 | -5 | -21,267,503 | -106,337,515 |
Here are some more numbers to try:
Try the factor calculator