Q: What are the factor combinations of the number 140,320,031?

 A:
Positive:   1 x 140320031811 x 173021
Negative: -1 x -140320031-811 x -173021


How do I find the factor combinations of the number 140,320,031?

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 140,320,031, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

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.

1 140,320,031
-1 -140,320,031

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 140,320,031.

Example:
1 x 140,320,031 = 140,320,031
and
-1 x -140,320,031 = 140,320,031
Notice both answers equal 140,320,031

With that explanation out of the way, let's continue. Next, we take the number 140,320,031 and divide it by 2:

140,320,031 ÷ 2 = 70,160,015.5

If the quotient is a whole number, then 2 and 70,160,015.5 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:

1 140,320,031
-1 -140,320,031

Now, we try dividing 140,320,031 by 3:

140,320,031 ÷ 3 = 46,773,343.6667

If the quotient is a whole number, then 3 and 46,773,343.6667 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:

1 140,320,031
-1 -140,320,031

Let's try dividing by 4:

140,320,031 ÷ 4 = 35,080,007.75

If the quotient is a whole number, then 4 and 35,080,007.75 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:

1 140,320,031
-1 140,320,031
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

1811173,021140,320,031
-1-811-173,021-140,320,031

More Examples

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