Q: What are the factor combinations of the number 48,512,215?

 A:
Positive:   1 x 485122155 x 970244329 x 1672835145 x 334567157 x 308995785 x 617992131 x 227654553 x 10655
Negative: -1 x -48512215-5 x -9702443-29 x -1672835-145 x -334567-157 x -308995-785 x -61799-2131 x -22765-4553 x -10655


How do I find the factor combinations of the number 48,512,215?

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 48,512,215, 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 48,512,215
-1 -48,512,215

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 48,512,215.

Example:
1 x 48,512,215 = 48,512,215
and
-1 x -48,512,215 = 48,512,215
Notice both answers equal 48,512,215

With that explanation out of the way, let's continue. Next, we take the number 48,512,215 and divide it by 2:

48,512,215 ÷ 2 = 24,256,107.5

If the quotient is a whole number, then 2 and 24,256,107.5 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 48,512,215
-1 -48,512,215

Now, we try dividing 48,512,215 by 3:

48,512,215 ÷ 3 = 16,170,738.3333

If the quotient is a whole number, then 3 and 16,170,738.3333 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 48,512,215
-1 -48,512,215

Let's try dividing by 4:

48,512,215 ÷ 4 = 12,128,053.75

If the quotient is a whole number, then 4 and 12,128,053.75 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 48,512,215
-1 48,512,215
Keep dividing by the next highest number until you cannot divide anymore.

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

15291451577852,1314,55310,65522,76561,799308,995334,5671,672,8359,702,44348,512,215
-1-5-29-145-157-785-2,131-4,553-10,655-22,765-61,799-308,995-334,567-1,672,835-9,702,443-48,512,215

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