Q: What are the factor combinations of the number 311,445,529?

 A:
Positive:   1 x 31144552929 x 10739501103 x 3023743127 x 2452327821 x 3793492987 x 1042673683 x 8456313081 x 23809
Negative: -1 x -311445529-29 x -10739501-103 x -3023743-127 x -2452327-821 x -379349-2987 x -104267-3683 x -84563-13081 x -23809


How do I find the factor combinations of the number 311,445,529?

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 311,445,529, 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.

1 311,445,529
-1 -311,445,529

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 311,445,529.

Example:
1 x 311,445,529 = 311,445,529
and
-1 x -311,445,529 = 311,445,529
Notice both answers equal 311,445,529

With that explanation out of the way, let's continue. Next, we take the number 311,445,529 and divide it by 2:

311,445,529 ÷ 2 = 155,722,764.5

If the quotient is a whole number, then 2 and 155,722,764.5 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:

1 311,445,529
-1 -311,445,529

Now, we try dividing 311,445,529 by 3:

311,445,529 ÷ 3 = 103,815,176.3333

If the quotient is a whole number, then 3 and 103,815,176.3333 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:

1 311,445,529
-1 -311,445,529

Let's try dividing by 4:

311,445,529 ÷ 4 = 77,861,382.25

If the quotient is a whole number, then 4 and 77,861,382.25 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:

1 311,445,529
-1 311,445,529
Keep dividing by the next highest number until you cannot divide anymore.

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

1291031278212,9873,68313,08123,80984,563104,267379,3492,452,3273,023,74310,739,501311,445,529
-1-29-103-127-821-2,987-3,683-13,081-23,809-84,563-104,267-379,349-2,452,327-3,023,743-10,739,501-311,445,529

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