Q: What are the factor combinations of the number 131,000,323?
A:
Positive:
1 x 1310003233727 x 35149
Negative:
-1 x -131000323-3727 x -35149
A:
Positive:
1 x 1310003233727 x 35149
Negative:
-1 x -131000323-3727 x -35149
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 131,000,323, 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 | 131,000,323 | |
-1 | -131,000,323 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 131,000,323.
Example:
1 x 131,000,323 = 131,000,323
and
-1 x -131,000,323 = 131,000,323
Notice both answers equal 131,000,323
With that explanation out of the way, let's continue. Next, we take the number 131,000,323 and divide it by 2:
131,000,323 ÷ 2 = 65,500,161.5
If the quotient is a whole number, then 2 and 65,500,161.5 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 | 131,000,323 | |
-1 | -131,000,323 |
Now, we try dividing 131,000,323 by 3:
131,000,323 ÷ 3 = 43,666,774.3333
If the quotient is a whole number, then 3 and 43,666,774.3333 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 | 131,000,323 | |
-1 | -131,000,323 |
Let's try dividing by 4:
131,000,323 ÷ 4 = 32,750,080.75
If the quotient is a whole number, then 4 and 32,750,080.75 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 | 131,000,323 | |
-1 | 131,000,323 |
If you did it right, you will end up with this table:
1 | 3,727 | 35,149 | 131,000,323 |
-1 | -3,727 | -35,149 | -131,000,323 |
Here are some more numbers to try:
Try the factor calculator