Q: What are the factor combinations of the number 311,243,015?

 A:
Positive:   1 x 3112430155 x 6224860323 x 1353230579 x 3939785115 x 2706461395 x 7879571817 x 1712959085 x 34259
Negative: -1 x -311243015-5 x -62248603-23 x -13532305-79 x -3939785-115 x -2706461-395 x -787957-1817 x -171295-9085 x -34259


How do I find the factor combinations of the number 311,243,015?

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 311,243,015, 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.

1 311,243,015
-1 -311,243,015

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 311,243,015.

Example:
1 x 311,243,015 = 311,243,015
and
-1 x -311,243,015 = 311,243,015
Notice both answers equal 311,243,015

With that explanation out of the way, let's continue. Next, we take the number 311,243,015 and divide it by 2:

311,243,015 ÷ 2 = 155,621,507.5

If the quotient is a whole number, then 2 and 155,621,507.5 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:

1 311,243,015
-1 -311,243,015

Now, we try dividing 311,243,015 by 3:

311,243,015 ÷ 3 = 103,747,671.6667

If the quotient is a whole number, then 3 and 103,747,671.6667 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:

1 311,243,015
-1 -311,243,015

Let's try dividing by 4:

311,243,015 ÷ 4 = 77,810,753.75

If the quotient is a whole number, then 4 and 77,810,753.75 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:

1 311,243,015
-1 311,243,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1523791153951,8179,08534,259171,295787,9572,706,4613,939,78513,532,30562,248,603311,243,015
-1-5-23-79-115-395-1,817-9,085-34,259-171,295-787,957-2,706,461-3,939,785-13,532,305-62,248,603-311,243,015

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