Q: What are the factor combinations of the number 32,311,237?

 A:
Positive:   1 x 323112377 x 461589117 x 190066149 x 65941379 x 409003119 x 271523491 x 65807553 x 58429833 x 387891343 x 240593437 x 94013871 x 8347
Negative: -1 x -32311237-7 x -4615891-17 x -1900661-49 x -659413-79 x -409003-119 x -271523-491 x -65807-553 x -58429-833 x -38789-1343 x -24059-3437 x -9401-3871 x -8347


How do I find the factor combinations of the number 32,311,237?

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 32,311,237, 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 32,311,237
-1 -32,311,237

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 32,311,237.

Example:
1 x 32,311,237 = 32,311,237
and
-1 x -32,311,237 = 32,311,237
Notice both answers equal 32,311,237

With that explanation out of the way, let's continue. Next, we take the number 32,311,237 and divide it by 2:

32,311,237 ÷ 2 = 16,155,618.5

If the quotient is a whole number, then 2 and 16,155,618.5 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 32,311,237
-1 -32,311,237

Now, we try dividing 32,311,237 by 3:

32,311,237 ÷ 3 = 10,770,412.3333

If the quotient is a whole number, then 3 and 10,770,412.3333 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 32,311,237
-1 -32,311,237

Let's try dividing by 4:

32,311,237 ÷ 4 = 8,077,809.25

If the quotient is a whole number, then 4 and 8,077,809.25 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 32,311,237
-1 32,311,237
Keep dividing by the next highest number until you cannot divide anymore.

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

171749791194915538331,3433,4373,8718,3479,40124,05938,78958,42965,807271,523409,003659,4131,900,6614,615,89132,311,237
-1-7-17-49-79-119-491-553-833-1,343-3,437-3,871-8,347-9,401-24,059-38,789-58,429-65,807-271,523-409,003-659,413-1,900,661-4,615,891-32,311,237

More Examples

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