Q: What are the factor combinations of the number 166,162,363?

 A:
Positive:   1 x 16616236343 x 3864241151 x 1100413157 x 1058359163 x 10194016493 x 255916751 x 246137009 x 23707
Negative: -1 x -166162363-43 x -3864241-151 x -1100413-157 x -1058359-163 x -1019401-6493 x -25591-6751 x -24613-7009 x -23707


How do I find the factor combinations of the number 166,162,363?

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 166,162,363, 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.

1 166,162,363
-1 -166,162,363

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 166,162,363.

Example:
1 x 166,162,363 = 166,162,363
and
-1 x -166,162,363 = 166,162,363
Notice both answers equal 166,162,363

With that explanation out of the way, let's continue. Next, we take the number 166,162,363 and divide it by 2:

166,162,363 ÷ 2 = 83,081,181.5

If the quotient is a whole number, then 2 and 83,081,181.5 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:

1 166,162,363
-1 -166,162,363

Now, we try dividing 166,162,363 by 3:

166,162,363 ÷ 3 = 55,387,454.3333

If the quotient is a whole number, then 3 and 55,387,454.3333 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:

1 166,162,363
-1 -166,162,363

Let's try dividing by 4:

166,162,363 ÷ 4 = 41,540,590.75

If the quotient is a whole number, then 4 and 41,540,590.75 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:

1 166,162,363
-1 166,162,363
Keep dividing by the next highest number until you cannot divide anymore.

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

1431511571636,4936,7517,00923,70724,61325,5911,019,4011,058,3591,100,4133,864,241166,162,363
-1-43-151-157-163-6,493-6,751-7,009-23,707-24,613-25,591-1,019,401-1,058,359-1,100,413-3,864,241-166,162,363

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