Q: What are the factor combinations of the number 252,231,553?

 A:
Positive:   1 x 2522315537 x 3603307937 x 6817069259 x 973867457 x 5519292131 x 1183633199 x 7884714917 x 16909
Negative: -1 x -252231553-7 x -36033079-37 x -6817069-259 x -973867-457 x -551929-2131 x -118363-3199 x -78847-14917 x -16909


How do I find the factor combinations of the number 252,231,553?

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 252,231,553, 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.

1 252,231,553
-1 -252,231,553

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 252,231,553.

Example:
1 x 252,231,553 = 252,231,553
and
-1 x -252,231,553 = 252,231,553
Notice both answers equal 252,231,553

With that explanation out of the way, let's continue. Next, we take the number 252,231,553 and divide it by 2:

252,231,553 ÷ 2 = 126,115,776.5

If the quotient is a whole number, then 2 and 126,115,776.5 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:

1 252,231,553
-1 -252,231,553

Now, we try dividing 252,231,553 by 3:

252,231,553 ÷ 3 = 84,077,184.3333

If the quotient is a whole number, then 3 and 84,077,184.3333 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:

1 252,231,553
-1 -252,231,553

Let's try dividing by 4:

252,231,553 ÷ 4 = 63,057,888.25

If the quotient is a whole number, then 4 and 63,057,888.25 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:

1 252,231,553
-1 252,231,553
Keep dividing by the next highest number until you cannot divide anymore.

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

17372594572,1313,19914,91716,90978,847118,363551,929973,8676,817,06936,033,079252,231,553
-1-7-37-259-457-2,131-3,199-14,917-16,909-78,847-118,363-551,929-973,867-6,817,069-36,033,079-252,231,553

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