Q: What are the factor combinations of the number 231,566,435?

 A:
Positive:   1 x 2315664355 x 4631328717 x 1362155531 x 746988585 x 2724311155 x 1493977527 x 4394052635 x 87881
Negative: -1 x -231566435-5 x -46313287-17 x -13621555-31 x -7469885-85 x -2724311-155 x -1493977-527 x -439405-2635 x -87881


How do I find the factor combinations of the number 231,566,435?

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 231,566,435, 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.

1 231,566,435
-1 -231,566,435

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 231,566,435.

Example:
1 x 231,566,435 = 231,566,435
and
-1 x -231,566,435 = 231,566,435
Notice both answers equal 231,566,435

With that explanation out of the way, let's continue. Next, we take the number 231,566,435 and divide it by 2:

231,566,435 ÷ 2 = 115,783,217.5

If the quotient is a whole number, then 2 and 115,783,217.5 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:

1 231,566,435
-1 -231,566,435

Now, we try dividing 231,566,435 by 3:

231,566,435 ÷ 3 = 77,188,811.6667

If the quotient is a whole number, then 3 and 77,188,811.6667 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:

1 231,566,435
-1 -231,566,435

Let's try dividing by 4:

231,566,435 ÷ 4 = 57,891,608.75

If the quotient is a whole number, then 4 and 57,891,608.75 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:

1 231,566,435
-1 231,566,435
Keep dividing by the next highest number until you cannot divide anymore.

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

151731851555272,63587,881439,4051,493,9772,724,3117,469,88513,621,55546,313,287231,566,435
-1-5-17-31-85-155-527-2,635-87,881-439,405-1,493,977-2,724,311-7,469,885-13,621,555-46,313,287-231,566,435

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