Q: What are the factor combinations of the number 48,087,803?

 A:
Positive:   1 x 4808780319 x 253093743 x 111832171 x 677293817 x 58859829 x 580071349 x 356473053 x 15751
Negative: -1 x -48087803-19 x -2530937-43 x -1118321-71 x -677293-817 x -58859-829 x -58007-1349 x -35647-3053 x -15751


How do I find the factor combinations of the number 48,087,803?

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 48,087,803, 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 48,087,803
-1 -48,087,803

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 48,087,803.

Example:
1 x 48,087,803 = 48,087,803
and
-1 x -48,087,803 = 48,087,803
Notice both answers equal 48,087,803

With that explanation out of the way, let's continue. Next, we take the number 48,087,803 and divide it by 2:

48,087,803 ÷ 2 = 24,043,901.5

If the quotient is a whole number, then 2 and 24,043,901.5 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 48,087,803
-1 -48,087,803

Now, we try dividing 48,087,803 by 3:

48,087,803 ÷ 3 = 16,029,267.6667

If the quotient is a whole number, then 3 and 16,029,267.6667 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 48,087,803
-1 -48,087,803

Let's try dividing by 4:

48,087,803 ÷ 4 = 12,021,950.75

If the quotient is a whole number, then 4 and 12,021,950.75 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 48,087,803
-1 48,087,803
Keep dividing by the next highest number until you cannot divide anymore.

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

11943718178291,3493,05315,75135,64758,00758,859677,2931,118,3212,530,93748,087,803
-1-19-43-71-817-829-1,349-3,053-15,751-35,647-58,007-58,859-677,293-1,118,321-2,530,937-48,087,803

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