Q: What are the factor combinations of the number 237,288,355?

 A:
Positive:   1 x 2372883555 x 4745767123 x 10316885115 x 2063377
Negative: -1 x -237288355-5 x -47457671-23 x -10316885-115 x -2063377


How do I find the factor combinations of the number 237,288,355?

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 237,288,355, 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.

1 237,288,355
-1 -237,288,355

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 237,288,355.

Example:
1 x 237,288,355 = 237,288,355
and
-1 x -237,288,355 = 237,288,355
Notice both answers equal 237,288,355

With that explanation out of the way, let's continue. Next, we take the number 237,288,355 and divide it by 2:

237,288,355 ÷ 2 = 118,644,177.5

If the quotient is a whole number, then 2 and 118,644,177.5 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:

1 237,288,355
-1 -237,288,355

Now, we try dividing 237,288,355 by 3:

237,288,355 ÷ 3 = 79,096,118.3333

If the quotient is a whole number, then 3 and 79,096,118.3333 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:

1 237,288,355
-1 -237,288,355

Let's try dividing by 4:

237,288,355 ÷ 4 = 59,322,088.75

If the quotient is a whole number, then 4 and 59,322,088.75 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:

1 237,288,355
-1 237,288,355
Keep dividing by the next highest number until you cannot divide anymore.

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

15231152,063,37710,316,88547,457,671237,288,355
-1-5-23-115-2,063,377-10,316,885-47,457,671-237,288,355

More Examples

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