Q: What are the factor combinations of the number 311,136,455?

 A:
Positive:   1 x 3111364555 x 622272917 x 4444806535 x 8889613271 x 11481051355 x 2296211897 x 1640159485 x 32803
Negative: -1 x -311136455-5 x -62227291-7 x -44448065-35 x -8889613-271 x -1148105-1355 x -229621-1897 x -164015-9485 x -32803


How do I find the factor combinations of the number 311,136,455?

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 311,136,455, 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.

1 311,136,455
-1 -311,136,455

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 311,136,455.

Example:
1 x 311,136,455 = 311,136,455
and
-1 x -311,136,455 = 311,136,455
Notice both answers equal 311,136,455

With that explanation out of the way, let's continue. Next, we take the number 311,136,455 and divide it by 2:

311,136,455 ÷ 2 = 155,568,227.5

If the quotient is a whole number, then 2 and 155,568,227.5 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:

1 311,136,455
-1 -311,136,455

Now, we try dividing 311,136,455 by 3:

311,136,455 ÷ 3 = 103,712,151.6667

If the quotient is a whole number, then 3 and 103,712,151.6667 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:

1 311,136,455
-1 -311,136,455

Let's try dividing by 4:

311,136,455 ÷ 4 = 77,784,113.75

If the quotient is a whole number, then 4 and 77,784,113.75 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:

1 311,136,455
-1 311,136,455
Keep dividing by the next highest number until you cannot divide anymore.

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

157352711,3551,8979,48532,803164,015229,6211,148,1058,889,61344,448,06562,227,291311,136,455
-1-5-7-35-271-1,355-1,897-9,485-32,803-164,015-229,621-1,148,105-8,889,613-44,448,065-62,227,291-311,136,455

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