Q: What are the factor combinations of the number 86,162,167?

 A:
Positive:   1 x 861621677 x 1230888113 x 662785991 x 946837349 x 2468832443 x 352692713 x 317594537 x 18991
Negative: -1 x -86162167-7 x -12308881-13 x -6627859-91 x -946837-349 x -246883-2443 x -35269-2713 x -31759-4537 x -18991


How do I find the factor combinations of the number 86,162,167?

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 86,162,167, 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 86,162,167
-1 -86,162,167

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 86,162,167.

Example:
1 x 86,162,167 = 86,162,167
and
-1 x -86,162,167 = 86,162,167
Notice both answers equal 86,162,167

With that explanation out of the way, let's continue. Next, we take the number 86,162,167 and divide it by 2:

86,162,167 ÷ 2 = 43,081,083.5

If the quotient is a whole number, then 2 and 43,081,083.5 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 86,162,167
-1 -86,162,167

Now, we try dividing 86,162,167 by 3:

86,162,167 ÷ 3 = 28,720,722.3333

If the quotient is a whole number, then 3 and 28,720,722.3333 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 86,162,167
-1 -86,162,167

Let's try dividing by 4:

86,162,167 ÷ 4 = 21,540,541.75

If the quotient is a whole number, then 4 and 21,540,541.75 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 86,162,167
-1 86,162,167
Keep dividing by the next highest number until you cannot divide anymore.

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

1713913492,4432,7134,53718,99131,75935,269246,883946,8376,627,85912,308,88186,162,167
-1-7-13-91-349-2,443-2,713-4,537-18,991-31,759-35,269-246,883-946,837-6,627,859-12,308,881-86,162,167

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