Q: What are the factor combinations of the number 252,770,015?

 A:
Positive:   1 x 2527700155 x 5055400319 x 1330368595 x 2660737
Negative: -1 x -252770015-5 x -50554003-19 x -13303685-95 x -2660737


How do I find the factor combinations of the number 252,770,015?

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 252,770,015, 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.

1 252,770,015
-1 -252,770,015

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 252,770,015.

Example:
1 x 252,770,015 = 252,770,015
and
-1 x -252,770,015 = 252,770,015
Notice both answers equal 252,770,015

With that explanation out of the way, let's continue. Next, we take the number 252,770,015 and divide it by 2:

252,770,015 ÷ 2 = 126,385,007.5

If the quotient is a whole number, then 2 and 126,385,007.5 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:

1 252,770,015
-1 -252,770,015

Now, we try dividing 252,770,015 by 3:

252,770,015 ÷ 3 = 84,256,671.6667

If the quotient is a whole number, then 3 and 84,256,671.6667 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:

1 252,770,015
-1 -252,770,015

Let's try dividing by 4:

252,770,015 ÷ 4 = 63,192,503.75

If the quotient is a whole number, then 4 and 63,192,503.75 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:

1 252,770,015
-1 252,770,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1519952,660,73713,303,68550,554,003252,770,015
-1-5-19-95-2,660,737-13,303,685-50,554,003-252,770,015

More Examples

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