Q: What are the factor combinations of the number 210,345,665?

 A:
Positive:   1 x 2103456655 x 4206913371 x 2962615355 x 592523479 x 4391351237 x 1700452395 x 878276185 x 34009
Negative: -1 x -210345665-5 x -42069133-71 x -2962615-355 x -592523-479 x -439135-1237 x -170045-2395 x -87827-6185 x -34009


How do I find the factor combinations of the number 210,345,665?

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 210,345,665, 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.

1 210,345,665
-1 -210,345,665

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 210,345,665.

Example:
1 x 210,345,665 = 210,345,665
and
-1 x -210,345,665 = 210,345,665
Notice both answers equal 210,345,665

With that explanation out of the way, let's continue. Next, we take the number 210,345,665 and divide it by 2:

210,345,665 ÷ 2 = 105,172,832.5

If the quotient is a whole number, then 2 and 105,172,832.5 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:

1 210,345,665
-1 -210,345,665

Now, we try dividing 210,345,665 by 3:

210,345,665 ÷ 3 = 70,115,221.6667

If the quotient is a whole number, then 3 and 70,115,221.6667 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:

1 210,345,665
-1 -210,345,665

Let's try dividing by 4:

210,345,665 ÷ 4 = 52,586,416.25

If the quotient is a whole number, then 4 and 52,586,416.25 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:

1 210,345,665
-1 210,345,665
Keep dividing by the next highest number until you cannot divide anymore.

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

15713554791,2372,3956,18534,00987,827170,045439,135592,5232,962,61542,069,133210,345,665
-1-5-71-355-479-1,237-2,395-6,185-34,009-87,827-170,045-439,135-592,523-2,962,615-42,069,133-210,345,665

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