Q: What are the factor combinations of the number 110,110,615?

 A:
Positive:   1 x 1101106155 x 2202212317 x 647709585 x 1295419167 x 659345835 x 1318692839 x 387857757 x 14195
Negative: -1 x -110110615-5 x -22022123-17 x -6477095-85 x -1295419-167 x -659345-835 x -131869-2839 x -38785-7757 x -14195


How do I find the factor combinations of the number 110,110,615?

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 110,110,615, 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.

1 110,110,615
-1 -110,110,615

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 110,110,615.

Example:
1 x 110,110,615 = 110,110,615
and
-1 x -110,110,615 = 110,110,615
Notice both answers equal 110,110,615

With that explanation out of the way, let's continue. Next, we take the number 110,110,615 and divide it by 2:

110,110,615 ÷ 2 = 55,055,307.5

If the quotient is a whole number, then 2 and 55,055,307.5 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:

1 110,110,615
-1 -110,110,615

Now, we try dividing 110,110,615 by 3:

110,110,615 ÷ 3 = 36,703,538.3333

If the quotient is a whole number, then 3 and 36,703,538.3333 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:

1 110,110,615
-1 -110,110,615

Let's try dividing by 4:

110,110,615 ÷ 4 = 27,527,653.75

If the quotient is a whole number, then 4 and 27,527,653.75 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:

1 110,110,615
-1 110,110,615
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851678352,8397,75714,19538,785131,869659,3451,295,4196,477,09522,022,123110,110,615
-1-5-17-85-167-835-2,839-7,757-14,195-38,785-131,869-659,345-1,295,419-6,477,095-22,022,123-110,110,615

More Examples

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