Q: What are the factor combinations of the number 312,788,063?

 A:
Positive:   1 x 3127880637 x 4468400923 x 1359948143 x 7274141161 x 1942783301 x 1039163989 x 3162676923 x 45181
Negative: -1 x -312788063-7 x -44684009-23 x -13599481-43 x -7274141-161 x -1942783-301 x -1039163-989 x -316267-6923 x -45181


How do I find the factor combinations of the number 312,788,063?

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 312,788,063, 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.

1 312,788,063
-1 -312,788,063

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 312,788,063.

Example:
1 x 312,788,063 = 312,788,063
and
-1 x -312,788,063 = 312,788,063
Notice both answers equal 312,788,063

With that explanation out of the way, let's continue. Next, we take the number 312,788,063 and divide it by 2:

312,788,063 ÷ 2 = 156,394,031.5

If the quotient is a whole number, then 2 and 156,394,031.5 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:

1 312,788,063
-1 -312,788,063

Now, we try dividing 312,788,063 by 3:

312,788,063 ÷ 3 = 104,262,687.6667

If the quotient is a whole number, then 3 and 104,262,687.6667 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:

1 312,788,063
-1 -312,788,063

Let's try dividing by 4:

312,788,063 ÷ 4 = 78,197,015.75

If the quotient is a whole number, then 4 and 78,197,015.75 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:

1 312,788,063
-1 312,788,063
Keep dividing by the next highest number until you cannot divide anymore.

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

1723431613019896,92345,181316,2671,039,1631,942,7837,274,14113,599,48144,684,009312,788,063
-1-7-23-43-161-301-989-6,923-45,181-316,267-1,039,163-1,942,783-7,274,141-13,599,481-44,684,009-312,788,063

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