Q: What are the factor combinations of the number 48,720,061?

 A:
Positive:   1 x 4872006113 x 3747697281 x 1733813653 x 13337
Negative: -1 x -48720061-13 x -3747697-281 x -173381-3653 x -13337


How do I find the factor combinations of the number 48,720,061?

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 48,720,061, 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 48,720,061
-1 -48,720,061

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 48,720,061.

Example:
1 x 48,720,061 = 48,720,061
and
-1 x -48,720,061 = 48,720,061
Notice both answers equal 48,720,061

With that explanation out of the way, let's continue. Next, we take the number 48,720,061 and divide it by 2:

48,720,061 ÷ 2 = 24,360,030.5

If the quotient is a whole number, then 2 and 24,360,030.5 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 48,720,061
-1 -48,720,061

Now, we try dividing 48,720,061 by 3:

48,720,061 ÷ 3 = 16,240,020.3333

If the quotient is a whole number, then 3 and 16,240,020.3333 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 48,720,061
-1 -48,720,061

Let's try dividing by 4:

48,720,061 ÷ 4 = 12,180,015.25

If the quotient is a whole number, then 4 and 12,180,015.25 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 48,720,061
-1 48,720,061
Keep dividing by the next highest number until you cannot divide anymore.

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

1132813,65313,337173,3813,747,69748,720,061
-1-13-281-3,653-13,337-173,381-3,747,697-48,720,061

More Examples

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