Q: What are the factor combinations of the number 48,788,411?

 A:
Positive:   1 x 487884117 x 696977329 x 1682359149 x 327439203 x 2403371043 x 467771613 x 302474321 x 11291
Negative: -1 x -48788411-7 x -6969773-29 x -1682359-149 x -327439-203 x -240337-1043 x -46777-1613 x -30247-4321 x -11291


How do I find the factor combinations of the number 48,788,411?

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 48,788,411, 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 48,788,411
-1 -48,788,411

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 48,788,411.

Example:
1 x 48,788,411 = 48,788,411
and
-1 x -48,788,411 = 48,788,411
Notice both answers equal 48,788,411

With that explanation out of the way, let's continue. Next, we take the number 48,788,411 and divide it by 2:

48,788,411 ÷ 2 = 24,394,205.5

If the quotient is a whole number, then 2 and 24,394,205.5 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 48,788,411
-1 -48,788,411

Now, we try dividing 48,788,411 by 3:

48,788,411 ÷ 3 = 16,262,803.6667

If the quotient is a whole number, then 3 and 16,262,803.6667 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 48,788,411
-1 -48,788,411

Let's try dividing by 4:

48,788,411 ÷ 4 = 12,197,102.75

If the quotient is a whole number, then 4 and 12,197,102.75 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 48,788,411
-1 48,788,411
Keep dividing by the next highest number until you cannot divide anymore.

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

17291492031,0431,6134,32111,29130,24746,777240,337327,4391,682,3596,969,77348,788,411
-1-7-29-149-203-1,043-1,613-4,321-11,291-30,247-46,777-240,337-327,439-1,682,359-6,969,773-48,788,411

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