Q: What are the factor combinations of the number 170,207,675?

 A:
Positive:   1 x 1702076755 x 3404153511 x 1547342525 x 680830755 x 3094685121 x 1406675275 x 618937605 x 2813353025 x 56267
Negative: -1 x -170207675-5 x -34041535-11 x -15473425-25 x -6808307-55 x -3094685-121 x -1406675-275 x -618937-605 x -281335-3025 x -56267


How do I find the factor combinations of the number 170,207,675?

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 170,207,675, 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.

1 170,207,675
-1 -170,207,675

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 170,207,675.

Example:
1 x 170,207,675 = 170,207,675
and
-1 x -170,207,675 = 170,207,675
Notice both answers equal 170,207,675

With that explanation out of the way, let's continue. Next, we take the number 170,207,675 and divide it by 2:

170,207,675 ÷ 2 = 85,103,837.5

If the quotient is a whole number, then 2 and 85,103,837.5 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:

1 170,207,675
-1 -170,207,675

Now, we try dividing 170,207,675 by 3:

170,207,675 ÷ 3 = 56,735,891.6667

If the quotient is a whole number, then 3 and 56,735,891.6667 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:

1 170,207,675
-1 -170,207,675

Let's try dividing by 4:

170,207,675 ÷ 4 = 42,551,918.75

If the quotient is a whole number, then 4 and 42,551,918.75 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:

1 170,207,675
-1 170,207,675
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551212756053,02556,267281,335618,9371,406,6753,094,6856,808,30715,473,42534,041,535170,207,675
-1-5-11-25-55-121-275-605-3,025-56,267-281,335-618,937-1,406,675-3,094,685-6,808,307-15,473,425-34,041,535-170,207,675

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