Q: What are the factor combinations of the number 171,070,903?
A:
Positive:
1 x 1710709031571 x 108893
Negative:
-1 x -171070903-1571 x -108893
A:
Positive:
1 x 1710709031571 x 108893
Negative:
-1 x -171070903-1571 x -108893
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 171,070,903, 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 | 171,070,903 | |
-1 | -171,070,903 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 171,070,903.
Example:
1 x 171,070,903 = 171,070,903
and
-1 x -171,070,903 = 171,070,903
Notice both answers equal 171,070,903
With that explanation out of the way, let's continue. Next, we take the number 171,070,903 and divide it by 2:
171,070,903 ÷ 2 = 85,535,451.5
If the quotient is a whole number, then 2 and 85,535,451.5 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 | 171,070,903 | |
-1 | -171,070,903 |
Now, we try dividing 171,070,903 by 3:
171,070,903 ÷ 3 = 57,023,634.3333
If the quotient is a whole number, then 3 and 57,023,634.3333 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 | 171,070,903 | |
-1 | -171,070,903 |
Let's try dividing by 4:
171,070,903 ÷ 4 = 42,767,725.75
If the quotient is a whole number, then 4 and 42,767,725.75 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 | 171,070,903 | |
-1 | 171,070,903 |
If you did it right, you will end up with this table:
1 | 1,571 | 108,893 | 171,070,903 |
-1 | -1,571 | -108,893 | -171,070,903 |
Here are some more numbers to try:
Try the factor calculator