Q: What are the factor combinations of the number 311,073,377?

 A:
Positive:   1 x 31107337719 x 1637228353 x 5869309541 x 574997571 x 5447871007 x 30891110279 x 3026310849 x 28673
Negative: -1 x -311073377-19 x -16372283-53 x -5869309-541 x -574997-571 x -544787-1007 x -308911-10279 x -30263-10849 x -28673


How do I find the factor combinations of the number 311,073,377?

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 311,073,377, 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.

1 311,073,377
-1 -311,073,377

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 311,073,377.

Example:
1 x 311,073,377 = 311,073,377
and
-1 x -311,073,377 = 311,073,377
Notice both answers equal 311,073,377

With that explanation out of the way, let's continue. Next, we take the number 311,073,377 and divide it by 2:

311,073,377 ÷ 2 = 155,536,688.5

If the quotient is a whole number, then 2 and 155,536,688.5 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:

1 311,073,377
-1 -311,073,377

Now, we try dividing 311,073,377 by 3:

311,073,377 ÷ 3 = 103,691,125.6667

If the quotient is a whole number, then 3 and 103,691,125.6667 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:

1 311,073,377
-1 -311,073,377

Let's try dividing by 4:

311,073,377 ÷ 4 = 77,768,344.25

If the quotient is a whole number, then 4 and 77,768,344.25 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:

1 311,073,377
-1 311,073,377
Keep dividing by the next highest number until you cannot divide anymore.

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

119535415711,00710,27910,84928,67330,263308,911544,787574,9975,869,30916,372,283311,073,377
-1-19-53-541-571-1,007-10,279-10,849-28,673-30,263-308,911-544,787-574,997-5,869,309-16,372,283-311,073,377

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