Q: What are the factor combinations of the number 170,137,627?

 A:
Positive:   1 x 17013762711 x 1546705743 x 3956689223 x 762949473 x 3596991613 x 1054792453 x 693599589 x 17743
Negative: -1 x -170137627-11 x -15467057-43 x -3956689-223 x -762949-473 x -359699-1613 x -105479-2453 x -69359-9589 x -17743


How do I find the factor combinations of the number 170,137,627?

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 170,137,627, 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.

1 170,137,627
-1 -170,137,627

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 170,137,627.

Example:
1 x 170,137,627 = 170,137,627
and
-1 x -170,137,627 = 170,137,627
Notice both answers equal 170,137,627

With that explanation out of the way, let's continue. Next, we take the number 170,137,627 and divide it by 2:

170,137,627 ÷ 2 = 85,068,813.5

If the quotient is a whole number, then 2 and 85,068,813.5 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:

1 170,137,627
-1 -170,137,627

Now, we try dividing 170,137,627 by 3:

170,137,627 ÷ 3 = 56,712,542.3333

If the quotient is a whole number, then 3 and 56,712,542.3333 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:

1 170,137,627
-1 -170,137,627

Let's try dividing by 4:

170,137,627 ÷ 4 = 42,534,406.75

If the quotient is a whole number, then 4 and 42,534,406.75 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:

1 170,137,627
-1 170,137,627
Keep dividing by the next highest number until you cannot divide anymore.

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

111432234731,6132,4539,58917,74369,359105,479359,699762,9493,956,68915,467,057170,137,627
-1-11-43-223-473-1,613-2,453-9,589-17,743-69,359-105,479-359,699-762,949-3,956,689-15,467,057-170,137,627

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