Q: What are the factor combinations of the number 48,517,063?

 A:
Positive:   1 x 485170637 x 693100941 x 1183343287 x 169049
Negative: -1 x -48517063-7 x -6931009-41 x -1183343-287 x -169049


How do I find the factor combinations of the number 48,517,063?

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 48,517,063, 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 48,517,063
-1 -48,517,063

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 48,517,063.

Example:
1 x 48,517,063 = 48,517,063
and
-1 x -48,517,063 = 48,517,063
Notice both answers equal 48,517,063

With that explanation out of the way, let's continue. Next, we take the number 48,517,063 and divide it by 2:

48,517,063 ÷ 2 = 24,258,531.5

If the quotient is a whole number, then 2 and 24,258,531.5 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 48,517,063
-1 -48,517,063

Now, we try dividing 48,517,063 by 3:

48,517,063 ÷ 3 = 16,172,354.3333

If the quotient is a whole number, then 3 and 16,172,354.3333 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 48,517,063
-1 -48,517,063

Let's try dividing by 4:

48,517,063 ÷ 4 = 12,129,265.75

If the quotient is a whole number, then 4 and 12,129,265.75 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 48,517,063
-1 48,517,063
Keep dividing by the next highest number until you cannot divide anymore.

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

1741287169,0491,183,3436,931,00948,517,063
-1-7-41-287-169,049-1,183,343-6,931,009-48,517,063

More Examples

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