Q: What are the factor combinations of the number 315,425,111?

 A:
Positive:   1 x 31542511137 x 8525003193 x 16343277141 x 44171
Negative: -1 x -315425111-37 x -8525003-193 x -1634327-7141 x -44171


How do I find the factor combinations of the number 315,425,111?

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 315,425,111, 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.

1 315,425,111
-1 -315,425,111

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 315,425,111.

Example:
1 x 315,425,111 = 315,425,111
and
-1 x -315,425,111 = 315,425,111
Notice both answers equal 315,425,111

With that explanation out of the way, let's continue. Next, we take the number 315,425,111 and divide it by 2:

315,425,111 ÷ 2 = 157,712,555.5

If the quotient is a whole number, then 2 and 157,712,555.5 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:

1 315,425,111
-1 -315,425,111

Now, we try dividing 315,425,111 by 3:

315,425,111 ÷ 3 = 105,141,703.6667

If the quotient is a whole number, then 3 and 105,141,703.6667 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:

1 315,425,111
-1 -315,425,111

Let's try dividing by 4:

315,425,111 ÷ 4 = 78,856,277.75

If the quotient is a whole number, then 4 and 78,856,277.75 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:

1 315,425,111
-1 315,425,111
Keep dividing by the next highest number until you cannot divide anymore.

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

1371937,14144,1711,634,3278,525,003315,425,111
-1-37-193-7,141-44,171-1,634,327-8,525,003-315,425,111

More Examples

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