Q: What are the factor combinations of the number 553,512,625?

 A:
Positive:   1 x 5535126255 x 11070252525 x 22140505125 x 4428101283 x 19558751415 x 3911757075 x 7823515647 x 35375
Negative: -1 x -553512625-5 x -110702525-25 x -22140505-125 x -4428101-283 x -1955875-1415 x -391175-7075 x -78235-15647 x -35375


How do I find the factor combinations of the number 553,512,625?

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 553,512,625, 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.

1 553,512,625
-1 -553,512,625

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 553,512,625.

Example:
1 x 553,512,625 = 553,512,625
and
-1 x -553,512,625 = 553,512,625
Notice both answers equal 553,512,625

With that explanation out of the way, let's continue. Next, we take the number 553,512,625 and divide it by 2:

553,512,625 ÷ 2 = 276,756,312.5

If the quotient is a whole number, then 2 and 276,756,312.5 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:

1 553,512,625
-1 -553,512,625

Now, we try dividing 553,512,625 by 3:

553,512,625 ÷ 3 = 184,504,208.3333

If the quotient is a whole number, then 3 and 184,504,208.3333 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:

1 553,512,625
-1 -553,512,625

Let's try dividing by 4:

553,512,625 ÷ 4 = 138,378,156.25

If the quotient is a whole number, then 4 and 138,378,156.25 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:

1 553,512,625
-1 553,512,625
Keep dividing by the next highest number until you cannot divide anymore.

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

15251252831,4157,07515,64735,37578,235391,1751,955,8754,428,10122,140,505110,702,525553,512,625
-1-5-25-125-283-1,415-7,075-15,647-35,375-78,235-391,175-1,955,875-4,428,101-22,140,505-110,702,525-553,512,625

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