Q: What are the factor combinations of the number 48,382,685?

 A:
Positive:   1 x 483826855 x 967653713 x 372174523 x 210359565 x 744349115 x 420719299 x 1618151495 x 32363
Negative: -1 x -48382685-5 x -9676537-13 x -3721745-23 x -2103595-65 x -744349-115 x -420719-299 x -161815-1495 x -32363


How do I find the factor combinations of the number 48,382,685?

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 48,382,685, 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 48,382,685
-1 -48,382,685

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 48,382,685.

Example:
1 x 48,382,685 = 48,382,685
and
-1 x -48,382,685 = 48,382,685
Notice both answers equal 48,382,685

With that explanation out of the way, let's continue. Next, we take the number 48,382,685 and divide it by 2:

48,382,685 ÷ 2 = 24,191,342.5

If the quotient is a whole number, then 2 and 24,191,342.5 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 48,382,685
-1 -48,382,685

Now, we try dividing 48,382,685 by 3:

48,382,685 ÷ 3 = 16,127,561.6667

If the quotient is a whole number, then 3 and 16,127,561.6667 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 48,382,685
-1 -48,382,685

Let's try dividing by 4:

48,382,685 ÷ 4 = 12,095,671.25

If the quotient is a whole number, then 4 and 12,095,671.25 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 48,382,685
-1 48,382,685
Keep dividing by the next highest number until you cannot divide anymore.

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

151323651152991,49532,363161,815420,719744,3492,103,5953,721,7459,676,53748,382,685
-1-5-13-23-65-115-299-1,495-32,363-161,815-420,719-744,349-2,103,595-3,721,745-9,676,537-48,382,685

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