Q: What are the factor combinations of the number 210,000,115?

 A:
Positive:   1 x 2100001155 x 4200002313 x 1615385565 x 3230771179 x 1173185895 x 2346372327 x 9024511635 x 18049
Negative: -1 x -210000115-5 x -42000023-13 x -16153855-65 x -3230771-179 x -1173185-895 x -234637-2327 x -90245-11635 x -18049


How do I find the factor combinations of the number 210,000,115?

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 210,000,115, 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.

1 210,000,115
-1 -210,000,115

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 210,000,115.

Example:
1 x 210,000,115 = 210,000,115
and
-1 x -210,000,115 = 210,000,115
Notice both answers equal 210,000,115

With that explanation out of the way, let's continue. Next, we take the number 210,000,115 and divide it by 2:

210,000,115 ÷ 2 = 105,000,057.5

If the quotient is a whole number, then 2 and 105,000,057.5 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:

1 210,000,115
-1 -210,000,115

Now, we try dividing 210,000,115 by 3:

210,000,115 ÷ 3 = 70,000,038.3333

If the quotient is a whole number, then 3 and 70,000,038.3333 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:

1 210,000,115
-1 -210,000,115

Let's try dividing by 4:

210,000,115 ÷ 4 = 52,500,028.75

If the quotient is a whole number, then 4 and 52,500,028.75 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:

1 210,000,115
-1 210,000,115
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651798952,32711,63518,04990,245234,6371,173,1853,230,77116,153,85542,000,023210,000,115
-1-5-13-65-179-895-2,327-11,635-18,049-90,245-234,637-1,173,185-3,230,771-16,153,855-42,000,023-210,000,115

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