Q: What are the factor combinations of the number 311,203,235?

 A:
Positive:   1 x 3112032355 x 622406477 x 4445760535 x 88915211307 x 2381056535 x 476216803 x 457459149 x 34015
Negative: -1 x -311203235-5 x -62240647-7 x -44457605-35 x -8891521-1307 x -238105-6535 x -47621-6803 x -45745-9149 x -34015


How do I find the factor combinations of the number 311,203,235?

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 311,203,235, 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.

1 311,203,235
-1 -311,203,235

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 311,203,235.

Example:
1 x 311,203,235 = 311,203,235
and
-1 x -311,203,235 = 311,203,235
Notice both answers equal 311,203,235

With that explanation out of the way, let's continue. Next, we take the number 311,203,235 and divide it by 2:

311,203,235 ÷ 2 = 155,601,617.5

If the quotient is a whole number, then 2 and 155,601,617.5 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:

1 311,203,235
-1 -311,203,235

Now, we try dividing 311,203,235 by 3:

311,203,235 ÷ 3 = 103,734,411.6667

If the quotient is a whole number, then 3 and 103,734,411.6667 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:

1 311,203,235
-1 -311,203,235

Let's try dividing by 4:

311,203,235 ÷ 4 = 77,800,808.75

If the quotient is a whole number, then 4 and 77,800,808.75 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:

1 311,203,235
-1 311,203,235
Keep dividing by the next highest number until you cannot divide anymore.

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

157351,3076,5356,8039,14934,01545,74547,621238,1058,891,52144,457,60562,240,647311,203,235
-1-5-7-35-1,307-6,535-6,803-9,149-34,015-45,745-47,621-238,105-8,891,521-44,457,605-62,240,647-311,203,235

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