Q: What are the factor combinations of the number 311,322,432?

 A:
Positive:   1 x 3113224322 x 1556612163 x 1037741444 x 778306086 x 518870728 x 3891530412 x 2594353616 x 1945765224 x 1297176832 x 972882648 x 648588464 x 486441396 x 3242942192 x 1621471
Negative: -1 x -311322432-2 x -155661216-3 x -103774144-4 x -77830608-6 x -51887072-8 x -38915304-12 x -25943536-16 x -19457652-24 x -12971768-32 x -9728826-48 x -6485884-64 x -4864413-96 x -3242942-192 x -1621471


How do I find the factor combinations of the number 311,322,432?

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 311,322,432, 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.

1 311,322,432
-1 -311,322,432

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 311,322,432.

Example:
1 x 311,322,432 = 311,322,432
and
-1 x -311,322,432 = 311,322,432
Notice both answers equal 311,322,432

With that explanation out of the way, let's continue. Next, we take the number 311,322,432 and divide it by 2:

311,322,432 ÷ 2 = 155,661,216

If the quotient is a whole number, then 2 and 155,661,216 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 155,661,216 311,322,432
-1 -2 -155,661,216 -311,322,432

Now, we try dividing 311,322,432 by 3:

311,322,432 ÷ 3 = 103,774,144

If the quotient is a whole number, then 3 and 103,774,144 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 103,774,144 155,661,216 311,322,432
-1 -2 -3 -103,774,144 -155,661,216 -311,322,432

Let's try dividing by 4:

311,322,432 ÷ 4 = 77,830,608

If the quotient is a whole number, then 4 and 77,830,608 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 77,830,608 103,774,144 155,661,216 311,322,432
-1 -2 -3 -4 -77,830,608 -103,774,144 -155,661,216 311,322,432
Keep dividing by the next highest number until you cannot divide anymore.

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

123468121624324864961921,621,4713,242,9424,864,4136,485,8849,728,82612,971,76819,457,65225,943,53638,915,30451,887,07277,830,608103,774,144155,661,216311,322,432
-1-2-3-4-6-8-12-16-24-32-48-64-96-192-1,621,471-3,242,942-4,864,413-6,485,884-9,728,826-12,971,768-19,457,652-25,943,536-38,915,304-51,887,072-77,830,608-103,774,144-155,661,216-311,322,432

More Examples

Here are some more numbers to try:

311,322,430311,322,431311,322,433311,322,434
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