Q: What are the factor combinations of the number 171,360,013?

 A:
Positive:   1 x 17136001311 x 1557818359 x 2904407229 x 748297649 x 2640371153 x 1486212519 x 6802712683 x 13511
Negative: -1 x -171360013-11 x -15578183-59 x -2904407-229 x -748297-649 x -264037-1153 x -148621-2519 x -68027-12683 x -13511


How do I find the factor combinations of the number 171,360,013?

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 171,360,013, 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.

1 171,360,013
-1 -171,360,013

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 171,360,013.

Example:
1 x 171,360,013 = 171,360,013
and
-1 x -171,360,013 = 171,360,013
Notice both answers equal 171,360,013

With that explanation out of the way, let's continue. Next, we take the number 171,360,013 and divide it by 2:

171,360,013 ÷ 2 = 85,680,006.5

If the quotient is a whole number, then 2 and 85,680,006.5 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:

1 171,360,013
-1 -171,360,013

Now, we try dividing 171,360,013 by 3:

171,360,013 ÷ 3 = 57,120,004.3333

If the quotient is a whole number, then 3 and 57,120,004.3333 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:

1 171,360,013
-1 -171,360,013

Let's try dividing by 4:

171,360,013 ÷ 4 = 42,840,003.25

If the quotient is a whole number, then 4 and 42,840,003.25 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:

1 171,360,013
-1 171,360,013
Keep dividing by the next highest number until you cannot divide anymore.

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

111592296491,1532,51912,68313,51168,027148,621264,037748,2972,904,40715,578,183171,360,013
-1-11-59-229-649-1,153-2,519-12,683-13,511-68,027-148,621-264,037-748,297-2,904,407-15,578,183-171,360,013

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