Q: What are the factor combinations of the number 552,020,441?

 A:
Positive:   1 x 5520204417 x 7886006331 x 17807111217 x 2543873
Negative: -1 x -552020441-7 x -78860063-31 x -17807111-217 x -2543873


How do I find the factor combinations of the number 552,020,441?

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 552,020,441, 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.

1 552,020,441
-1 -552,020,441

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 552,020,441.

Example:
1 x 552,020,441 = 552,020,441
and
-1 x -552,020,441 = 552,020,441
Notice both answers equal 552,020,441

With that explanation out of the way, let's continue. Next, we take the number 552,020,441 and divide it by 2:

552,020,441 ÷ 2 = 276,010,220.5

If the quotient is a whole number, then 2 and 276,010,220.5 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:

1 552,020,441
-1 -552,020,441

Now, we try dividing 552,020,441 by 3:

552,020,441 ÷ 3 = 184,006,813.6667

If the quotient is a whole number, then 3 and 184,006,813.6667 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:

1 552,020,441
-1 -552,020,441

Let's try dividing by 4:

552,020,441 ÷ 4 = 138,005,110.25

If the quotient is a whole number, then 4 and 138,005,110.25 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:

1 552,020,441
-1 552,020,441
Keep dividing by the next highest number until you cannot divide anymore.

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

17312172,543,87317,807,11178,860,063552,020,441
-1-7-31-217-2,543,873-17,807,111-78,860,063-552,020,441

More Examples

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