Q: What are the factor combinations of the number 48,212,047?

 A:
Positive:   1 x 4821204713 x 370861973 x 660439101 x 477347503 x 95849949 x 508031313 x 367196539 x 7373
Negative: -1 x -48212047-13 x -3708619-73 x -660439-101 x -477347-503 x -95849-949 x -50803-1313 x -36719-6539 x -7373


How do I find the factor combinations of the number 48,212,047?

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 48,212,047, 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 48,212,047
-1 -48,212,047

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 48,212,047.

Example:
1 x 48,212,047 = 48,212,047
and
-1 x -48,212,047 = 48,212,047
Notice both answers equal 48,212,047

With that explanation out of the way, let's continue. Next, we take the number 48,212,047 and divide it by 2:

48,212,047 ÷ 2 = 24,106,023.5

If the quotient is a whole number, then 2 and 24,106,023.5 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 48,212,047
-1 -48,212,047

Now, we try dividing 48,212,047 by 3:

48,212,047 ÷ 3 = 16,070,682.3333

If the quotient is a whole number, then 3 and 16,070,682.3333 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 48,212,047
-1 -48,212,047

Let's try dividing by 4:

48,212,047 ÷ 4 = 12,053,011.75

If the quotient is a whole number, then 4 and 12,053,011.75 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 48,212,047
-1 48,212,047
Keep dividing by the next highest number until you cannot divide anymore.

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

113731015039491,3136,5397,37336,71950,80395,849477,347660,4393,708,61948,212,047
-1-13-73-101-503-949-1,313-6,539-7,373-36,719-50,803-95,849-477,347-660,439-3,708,619-48,212,047

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