Q: What are the factor combinations of the number 237,727,055?

 A:
Positive:   1 x 2377270555 x 4754541167 x 354816573 x 3256535335 x 709633365 x 6513074891 x 486059721 x 24455
Negative: -1 x -237727055-5 x -47545411-67 x -3548165-73 x -3256535-335 x -709633-365 x -651307-4891 x -48605-9721 x -24455


How do I find the factor combinations of the number 237,727,055?

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 237,727,055, 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.

1 237,727,055
-1 -237,727,055

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 237,727,055.

Example:
1 x 237,727,055 = 237,727,055
and
-1 x -237,727,055 = 237,727,055
Notice both answers equal 237,727,055

With that explanation out of the way, let's continue. Next, we take the number 237,727,055 and divide it by 2:

237,727,055 ÷ 2 = 118,863,527.5

If the quotient is a whole number, then 2 and 118,863,527.5 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:

1 237,727,055
-1 -237,727,055

Now, we try dividing 237,727,055 by 3:

237,727,055 ÷ 3 = 79,242,351.6667

If the quotient is a whole number, then 3 and 79,242,351.6667 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:

1 237,727,055
-1 -237,727,055

Let's try dividing by 4:

237,727,055 ÷ 4 = 59,431,763.75

If the quotient is a whole number, then 4 and 59,431,763.75 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:

1 237,727,055
-1 237,727,055
Keep dividing by the next highest number until you cannot divide anymore.

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

1567733353654,8919,72124,45548,605651,307709,6333,256,5353,548,16547,545,411237,727,055
-1-5-67-73-335-365-4,891-9,721-24,455-48,605-651,307-709,633-3,256,535-3,548,165-47,545,411-237,727,055

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