Q: What are the factor combinations of the number 252,012,199?

 A:
Positive:   1 x 25201219917 x 1482424741 x 6146639547 x 460717661 x 381259697 x 3615679299 x 2710111237 x 22427
Negative: -1 x -252012199-17 x -14824247-41 x -6146639-547 x -460717-661 x -381259-697 x -361567-9299 x -27101-11237 x -22427


How do I find the factor combinations of the number 252,012,199?

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 252,012,199, 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.

1 252,012,199
-1 -252,012,199

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 252,012,199.

Example:
1 x 252,012,199 = 252,012,199
and
-1 x -252,012,199 = 252,012,199
Notice both answers equal 252,012,199

With that explanation out of the way, let's continue. Next, we take the number 252,012,199 and divide it by 2:

252,012,199 ÷ 2 = 126,006,099.5

If the quotient is a whole number, then 2 and 126,006,099.5 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:

1 252,012,199
-1 -252,012,199

Now, we try dividing 252,012,199 by 3:

252,012,199 ÷ 3 = 84,004,066.3333

If the quotient is a whole number, then 3 and 84,004,066.3333 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:

1 252,012,199
-1 -252,012,199

Let's try dividing by 4:

252,012,199 ÷ 4 = 63,003,049.75

If the quotient is a whole number, then 4 and 63,003,049.75 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:

1 252,012,199
-1 252,012,199
Keep dividing by the next highest number until you cannot divide anymore.

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

117415476616979,29911,23722,42727,101361,567381,259460,7176,146,63914,824,247252,012,199
-1-17-41-547-661-697-9,299-11,237-22,427-27,101-361,567-381,259-460,717-6,146,639-14,824,247-252,012,199

More Examples

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