Q: What are the factor combinations of the number 315,066,397?

 A:
Positive:   1 x 31506639723 x 1369853953 x 5944649131 x 24050871219 x 2584631973 x 1596893013 x 1045696943 x 45379
Negative: -1 x -315066397-23 x -13698539-53 x -5944649-131 x -2405087-1219 x -258463-1973 x -159689-3013 x -104569-6943 x -45379


How do I find the factor combinations of the number 315,066,397?

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 315,066,397, 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.

1 315,066,397
-1 -315,066,397

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 315,066,397.

Example:
1 x 315,066,397 = 315,066,397
and
-1 x -315,066,397 = 315,066,397
Notice both answers equal 315,066,397

With that explanation out of the way, let's continue. Next, we take the number 315,066,397 and divide it by 2:

315,066,397 ÷ 2 = 157,533,198.5

If the quotient is a whole number, then 2 and 157,533,198.5 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:

1 315,066,397
-1 -315,066,397

Now, we try dividing 315,066,397 by 3:

315,066,397 ÷ 3 = 105,022,132.3333

If the quotient is a whole number, then 3 and 105,022,132.3333 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:

1 315,066,397
-1 -315,066,397

Let's try dividing by 4:

315,066,397 ÷ 4 = 78,766,599.25

If the quotient is a whole number, then 4 and 78,766,599.25 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:

1 315,066,397
-1 315,066,397
Keep dividing by the next highest number until you cannot divide anymore.

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

123531311,2191,9733,0136,94345,379104,569159,689258,4632,405,0875,944,64913,698,539315,066,397
-1-23-53-131-1,219-1,973-3,013-6,943-45,379-104,569-159,689-258,463-2,405,087-5,944,649-13,698,539-315,066,397

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