Q: What are the factor combinations of the number 48,724,907?

 A:
Positive:   1 x 487249077 x 696070111 x 442953717 x 286617177 x 632791119 x 409453187 x 2605611309 x 37223
Negative: -1 x -48724907-7 x -6960701-11 x -4429537-17 x -2866171-77 x -632791-119 x -409453-187 x -260561-1309 x -37223


How do I find the factor combinations of the number 48,724,907?

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 48,724,907, 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 48,724,907
-1 -48,724,907

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 48,724,907.

Example:
1 x 48,724,907 = 48,724,907
and
-1 x -48,724,907 = 48,724,907
Notice both answers equal 48,724,907

With that explanation out of the way, let's continue. Next, we take the number 48,724,907 and divide it by 2:

48,724,907 ÷ 2 = 24,362,453.5

If the quotient is a whole number, then 2 and 24,362,453.5 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 48,724,907
-1 -48,724,907

Now, we try dividing 48,724,907 by 3:

48,724,907 ÷ 3 = 16,241,635.6667

If the quotient is a whole number, then 3 and 16,241,635.6667 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 48,724,907
-1 -48,724,907

Let's try dividing by 4:

48,724,907 ÷ 4 = 12,181,226.75

If the quotient is a whole number, then 4 and 12,181,226.75 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 48,724,907
-1 48,724,907
Keep dividing by the next highest number until you cannot divide anymore.

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

171117771191871,30937,223260,561409,453632,7912,866,1714,429,5376,960,70148,724,907
-1-7-11-17-77-119-187-1,309-37,223-260,561-409,453-632,791-2,866,171-4,429,537-6,960,701-48,724,907

More Examples

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