Q: What are the factor combinations of the number 311,543,557?

 A:
Positive:   1 x 31154355713 x 2396488943 x 7245199169 x 1843453559 x 557323997 x 3124811849 x 1684937267 x 4287112961 x 24037
Negative: -1 x -311543557-13 x -23964889-43 x -7245199-169 x -1843453-559 x -557323-997 x -312481-1849 x -168493-7267 x -42871-12961 x -24037


How do I find the factor combinations of the number 311,543,557?

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 311,543,557, 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.

1 311,543,557
-1 -311,543,557

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 311,543,557.

Example:
1 x 311,543,557 = 311,543,557
and
-1 x -311,543,557 = 311,543,557
Notice both answers equal 311,543,557

With that explanation out of the way, let's continue. Next, we take the number 311,543,557 and divide it by 2:

311,543,557 ÷ 2 = 155,771,778.5

If the quotient is a whole number, then 2 and 155,771,778.5 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:

1 311,543,557
-1 -311,543,557

Now, we try dividing 311,543,557 by 3:

311,543,557 ÷ 3 = 103,847,852.3333

If the quotient is a whole number, then 3 and 103,847,852.3333 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:

1 311,543,557
-1 -311,543,557

Let's try dividing by 4:

311,543,557 ÷ 4 = 77,885,889.25

If the quotient is a whole number, then 4 and 77,885,889.25 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:

1 311,543,557
-1 311,543,557
Keep dividing by the next highest number until you cannot divide anymore.

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

113431695599971,8497,26712,96124,03742,871168,493312,481557,3231,843,4537,245,19923,964,889311,543,557
-1-13-43-169-559-997-1,849-7,267-12,961-24,037-42,871-168,493-312,481-557,323-1,843,453-7,245,199-23,964,889-311,543,557

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