Q: What are the factor combinations of the number 13,500,011?

 A:
Positive:   1 x 135000117 x 192857323 x 58695771 x 190141161 x 83851497 x 271631181 x 114311633 x 8267
Negative: -1 x -13500011-7 x -1928573-23 x -586957-71 x -190141-161 x -83851-497 x -27163-1181 x -11431-1633 x -8267


How do I find the factor combinations of the number 13,500,011?

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 13,500,011, 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 13,500,011
-1 -13,500,011

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 13,500,011.

Example:
1 x 13,500,011 = 13,500,011
and
-1 x -13,500,011 = 13,500,011
Notice both answers equal 13,500,011

With that explanation out of the way, let's continue. Next, we take the number 13,500,011 and divide it by 2:

13,500,011 ÷ 2 = 6,750,005.5

If the quotient is a whole number, then 2 and 6,750,005.5 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 13,500,011
-1 -13,500,011

Now, we try dividing 13,500,011 by 3:

13,500,011 ÷ 3 = 4,500,003.6667

If the quotient is a whole number, then 3 and 4,500,003.6667 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 13,500,011
-1 -13,500,011

Let's try dividing by 4:

13,500,011 ÷ 4 = 3,375,002.75

If the quotient is a whole number, then 4 and 3,375,002.75 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 13,500,011
-1 13,500,011
Keep dividing by the next highest number until you cannot divide anymore.

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

1723711614971,1811,6338,26711,43127,16383,851190,141586,9571,928,57313,500,011
-1-7-23-71-161-497-1,181-1,633-8,267-11,431-27,163-83,851-190,141-586,957-1,928,573-13,500,011

More Examples

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