Q: What are the factor combinations of the number 251,513,015?

 A:
Positive:   1 x 2515130155 x 5030260313 x 1934715565 x 3869431233 x 10794551165 x 2158913029 x 8303515145 x 16607
Negative: -1 x -251513015-5 x -50302603-13 x -19347155-65 x -3869431-233 x -1079455-1165 x -215891-3029 x -83035-15145 x -16607


How do I find the factor combinations of the number 251,513,015?

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 251,513,015, 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.

1 251,513,015
-1 -251,513,015

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 251,513,015.

Example:
1 x 251,513,015 = 251,513,015
and
-1 x -251,513,015 = 251,513,015
Notice both answers equal 251,513,015

With that explanation out of the way, let's continue. Next, we take the number 251,513,015 and divide it by 2:

251,513,015 ÷ 2 = 125,756,507.5

If the quotient is a whole number, then 2 and 125,756,507.5 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:

1 251,513,015
-1 -251,513,015

Now, we try dividing 251,513,015 by 3:

251,513,015 ÷ 3 = 83,837,671.6667

If the quotient is a whole number, then 3 and 83,837,671.6667 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:

1 251,513,015
-1 -251,513,015

Let's try dividing by 4:

251,513,015 ÷ 4 = 62,878,253.75

If the quotient is a whole number, then 4 and 62,878,253.75 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:

1 251,513,015
-1 251,513,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1513652331,1653,02915,14516,60783,035215,8911,079,4553,869,43119,347,15550,302,603251,513,015
-1-5-13-65-233-1,165-3,029-15,145-16,607-83,035-215,891-1,079,455-3,869,431-19,347,155-50,302,603-251,513,015

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