Q: What are the factor combinations of the number 237,481,675?

 A:
Positive:   1 x 2374816755 x 4749633525 x 949926783 x 2861225193 x 1230475415 x 572245593 x 400475965 x 2460952075 x 1144492965 x 800954825 x 4921914825 x 16019
Negative: -1 x -237481675-5 x -47496335-25 x -9499267-83 x -2861225-193 x -1230475-415 x -572245-593 x -400475-965 x -246095-2075 x -114449-2965 x -80095-4825 x -49219-14825 x -16019


How do I find the factor combinations of the number 237,481,675?

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 237,481,675, 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.

1 237,481,675
-1 -237,481,675

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 237,481,675.

Example:
1 x 237,481,675 = 237,481,675
and
-1 x -237,481,675 = 237,481,675
Notice both answers equal 237,481,675

With that explanation out of the way, let's continue. Next, we take the number 237,481,675 and divide it by 2:

237,481,675 ÷ 2 = 118,740,837.5

If the quotient is a whole number, then 2 and 118,740,837.5 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:

1 237,481,675
-1 -237,481,675

Now, we try dividing 237,481,675 by 3:

237,481,675 ÷ 3 = 79,160,558.3333

If the quotient is a whole number, then 3 and 79,160,558.3333 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:

1 237,481,675
-1 -237,481,675

Let's try dividing by 4:

237,481,675 ÷ 4 = 59,370,418.75

If the quotient is a whole number, then 4 and 59,370,418.75 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:

1 237,481,675
-1 237,481,675
Keep dividing by the next highest number until you cannot divide anymore.

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

1525831934155939652,0752,9654,82514,82516,01949,21980,095114,449246,095400,475572,2451,230,4752,861,2259,499,26747,496,335237,481,675
-1-5-25-83-193-415-593-965-2,075-2,965-4,825-14,825-16,019-49,219-80,095-114,449-246,095-400,475-572,245-1,230,475-2,861,225-9,499,267-47,496,335-237,481,675

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