Q: What are the factor combinations of the number 168,756,155?

 A:
Positive:   1 x 1687561555 x 33751231857 x 1969154285 x 39383
Negative: -1 x -168756155-5 x -33751231-857 x -196915-4285 x -39383


How do I find the factor combinations of the number 168,756,155?

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 168,756,155, 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.

1 168,756,155
-1 -168,756,155

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 168,756,155.

Example:
1 x 168,756,155 = 168,756,155
and
-1 x -168,756,155 = 168,756,155
Notice both answers equal 168,756,155

With that explanation out of the way, let's continue. Next, we take the number 168,756,155 and divide it by 2:

168,756,155 ÷ 2 = 84,378,077.5

If the quotient is a whole number, then 2 and 84,378,077.5 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:

1 168,756,155
-1 -168,756,155

Now, we try dividing 168,756,155 by 3:

168,756,155 ÷ 3 = 56,252,051.6667

If the quotient is a whole number, then 3 and 56,252,051.6667 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:

1 168,756,155
-1 -168,756,155

Let's try dividing by 4:

168,756,155 ÷ 4 = 42,189,038.75

If the quotient is a whole number, then 4 and 42,189,038.75 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:

1 168,756,155
-1 168,756,155
Keep dividing by the next highest number until you cannot divide anymore.

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

158574,28539,383196,91533,751,231168,756,155
-1-5-857-4,285-39,383-196,915-33,751,231-168,756,155

More Examples

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