Q: What are the factor combinations of the number 315,140,243?

 A:
Positive:   1 x 31514024311 x 2864911379 x 3989117193 x 1632851869 x 3626471879 x 1677172123 x 14844115247 x 20669
Negative: -1 x -315140243-11 x -28649113-79 x -3989117-193 x -1632851-869 x -362647-1879 x -167717-2123 x -148441-15247 x -20669


How do I find the factor combinations of the number 315,140,243?

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 315,140,243, 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.

1 315,140,243
-1 -315,140,243

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 315,140,243.

Example:
1 x 315,140,243 = 315,140,243
and
-1 x -315,140,243 = 315,140,243
Notice both answers equal 315,140,243

With that explanation out of the way, let's continue. Next, we take the number 315,140,243 and divide it by 2:

315,140,243 ÷ 2 = 157,570,121.5

If the quotient is a whole number, then 2 and 157,570,121.5 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:

1 315,140,243
-1 -315,140,243

Now, we try dividing 315,140,243 by 3:

315,140,243 ÷ 3 = 105,046,747.6667

If the quotient is a whole number, then 3 and 105,046,747.6667 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:

1 315,140,243
-1 -315,140,243

Let's try dividing by 4:

315,140,243 ÷ 4 = 78,785,060.75

If the quotient is a whole number, then 4 and 78,785,060.75 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:

1 315,140,243
-1 315,140,243
Keep dividing by the next highest number until you cannot divide anymore.

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

111791938691,8792,12315,24720,669148,441167,717362,6471,632,8513,989,11728,649,113315,140,243
-1-11-79-193-869-1,879-2,123-15,247-20,669-148,441-167,717-362,647-1,632,851-3,989,117-28,649,113-315,140,243

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