Q: What are the factor combinations of the number 48,656,135?

 A:
Positive:   1 x 486561355 x 973122711 x 442328541 x 118673555 x 884657205 x 237347451 x 1078852255 x 21577
Negative: -1 x -48656135-5 x -9731227-11 x -4423285-41 x -1186735-55 x -884657-205 x -237347-451 x -107885-2255 x -21577


How do I find the factor combinations of the number 48,656,135?

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 48,656,135, 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 48,656,135
-1 -48,656,135

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 48,656,135.

Example:
1 x 48,656,135 = 48,656,135
and
-1 x -48,656,135 = 48,656,135
Notice both answers equal 48,656,135

With that explanation out of the way, let's continue. Next, we take the number 48,656,135 and divide it by 2:

48,656,135 ÷ 2 = 24,328,067.5

If the quotient is a whole number, then 2 and 24,328,067.5 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 48,656,135
-1 -48,656,135

Now, we try dividing 48,656,135 by 3:

48,656,135 ÷ 3 = 16,218,711.6667

If the quotient is a whole number, then 3 and 16,218,711.6667 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 48,656,135
-1 -48,656,135

Let's try dividing by 4:

48,656,135 ÷ 4 = 12,164,033.75

If the quotient is a whole number, then 4 and 12,164,033.75 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 48,656,135
-1 48,656,135
Keep dividing by the next highest number until you cannot divide anymore.

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

151141552054512,25521,577107,885237,347884,6571,186,7354,423,2859,731,22748,656,135
-1-5-11-41-55-205-451-2,255-21,577-107,885-237,347-884,657-1,186,735-4,423,285-9,731,227-48,656,135

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