Q: What are the factor combinations of the number 252,435,755?

 A:
Positive:   1 x 2524357555 x 5048715111 x 2294870513 x 1941813555 x 458974165 x 3883627143 x 1765285715 x 353057
Negative: -1 x -252435755-5 x -50487151-11 x -22948705-13 x -19418135-55 x -4589741-65 x -3883627-143 x -1765285-715 x -353057


How do I find the factor combinations of the number 252,435,755?

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 252,435,755, 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.

1 252,435,755
-1 -252,435,755

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 252,435,755.

Example:
1 x 252,435,755 = 252,435,755
and
-1 x -252,435,755 = 252,435,755
Notice both answers equal 252,435,755

With that explanation out of the way, let's continue. Next, we take the number 252,435,755 and divide it by 2:

252,435,755 ÷ 2 = 126,217,877.5

If the quotient is a whole number, then 2 and 126,217,877.5 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:

1 252,435,755
-1 -252,435,755

Now, we try dividing 252,435,755 by 3:

252,435,755 ÷ 3 = 84,145,251.6667

If the quotient is a whole number, then 3 and 84,145,251.6667 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:

1 252,435,755
-1 -252,435,755

Let's try dividing by 4:

252,435,755 ÷ 4 = 63,108,938.75

If the quotient is a whole number, then 4 and 63,108,938.75 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:

1 252,435,755
-1 252,435,755
Keep dividing by the next highest number until you cannot divide anymore.

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

1511135565143715353,0571,765,2853,883,6274,589,74119,418,13522,948,70550,487,151252,435,755
-1-5-11-13-55-65-143-715-353,057-1,765,285-3,883,627-4,589,741-19,418,135-22,948,705-50,487,151-252,435,755

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