Q: What are the factor combinations of the number 112,003,031?

 A:
Positive:   1 x 1120030317 x 1600043323 x 486969731 x 3613001161 x 695671217 x 516143713 x 1570874991 x 22441
Negative: -1 x -112003031-7 x -16000433-23 x -4869697-31 x -3613001-161 x -695671-217 x -516143-713 x -157087-4991 x -22441


How do I find the factor combinations of the number 112,003,031?

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 112,003,031, 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.

1 112,003,031
-1 -112,003,031

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 112,003,031.

Example:
1 x 112,003,031 = 112,003,031
and
-1 x -112,003,031 = 112,003,031
Notice both answers equal 112,003,031

With that explanation out of the way, let's continue. Next, we take the number 112,003,031 and divide it by 2:

112,003,031 ÷ 2 = 56,001,515.5

If the quotient is a whole number, then 2 and 56,001,515.5 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:

1 112,003,031
-1 -112,003,031

Now, we try dividing 112,003,031 by 3:

112,003,031 ÷ 3 = 37,334,343.6667

If the quotient is a whole number, then 3 and 37,334,343.6667 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:

1 112,003,031
-1 -112,003,031

Let's try dividing by 4:

112,003,031 ÷ 4 = 28,000,757.75

If the quotient is a whole number, then 4 and 28,000,757.75 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:

1 112,003,031
-1 112,003,031
Keep dividing by the next highest number until you cannot divide anymore.

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

1723311612177134,99122,441157,087516,143695,6713,613,0014,869,69716,000,433112,003,031
-1-7-23-31-161-217-713-4,991-22,441-157,087-516,143-695,671-3,613,001-4,869,697-16,000,433-112,003,031

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 112,003,031:


Ask a Question