Q: What are the factor combinations of the number 170,271,313?

 A:
Positive:   1 x 17027131331 x 549262361 x 2791333127 x 1340719709 x 2401571891 x 900433937 x 432497747 x 21979
Negative: -1 x -170271313-31 x -5492623-61 x -2791333-127 x -1340719-709 x -240157-1891 x -90043-3937 x -43249-7747 x -21979


How do I find the factor combinations of the number 170,271,313?

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 170,271,313, 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.

1 170,271,313
-1 -170,271,313

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 170,271,313.

Example:
1 x 170,271,313 = 170,271,313
and
-1 x -170,271,313 = 170,271,313
Notice both answers equal 170,271,313

With that explanation out of the way, let's continue. Next, we take the number 170,271,313 and divide it by 2:

170,271,313 ÷ 2 = 85,135,656.5

If the quotient is a whole number, then 2 and 85,135,656.5 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:

1 170,271,313
-1 -170,271,313

Now, we try dividing 170,271,313 by 3:

170,271,313 ÷ 3 = 56,757,104.3333

If the quotient is a whole number, then 3 and 56,757,104.3333 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:

1 170,271,313
-1 -170,271,313

Let's try dividing by 4:

170,271,313 ÷ 4 = 42,567,828.25

If the quotient is a whole number, then 4 and 42,567,828.25 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:

1 170,271,313
-1 170,271,313
Keep dividing by the next highest number until you cannot divide anymore.

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

131611277091,8913,9377,74721,97943,24990,043240,1571,340,7192,791,3335,492,623170,271,313
-1-31-61-127-709-1,891-3,937-7,747-21,979-43,249-90,043-240,157-1,340,719-2,791,333-5,492,623-170,271,313

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