Q: What are the factor combinations of the number 552,004,115?

 A:
Positive:   1 x 5520041155 x 11040082313 x 4246185541 x 1346351543 x 1283730565 x 8492371205 x 2692703215 x 2567461533 x 1035655559 x 9874851763 x 3131052665 x 2071312795 x 1974974817 x 1145958815 x 6262122919 x 24085
Negative: -1 x -552004115-5 x -110400823-13 x -42461855-41 x -13463515-43 x -12837305-65 x -8492371-205 x -2692703-215 x -2567461-533 x -1035655-559 x -987485-1763 x -313105-2665 x -207131-2795 x -197497-4817 x -114595-8815 x -62621-22919 x -24085


How do I find the factor combinations of the number 552,004,115?

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 552,004,115, 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.

1 552,004,115
-1 -552,004,115

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 552,004,115.

Example:
1 x 552,004,115 = 552,004,115
and
-1 x -552,004,115 = 552,004,115
Notice both answers equal 552,004,115

With that explanation out of the way, let's continue. Next, we take the number 552,004,115 and divide it by 2:

552,004,115 ÷ 2 = 276,002,057.5

If the quotient is a whole number, then 2 and 276,002,057.5 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:

1 552,004,115
-1 -552,004,115

Now, we try dividing 552,004,115 by 3:

552,004,115 ÷ 3 = 184,001,371.6667

If the quotient is a whole number, then 3 and 184,001,371.6667 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:

1 552,004,115
-1 -552,004,115

Let's try dividing by 4:

552,004,115 ÷ 4 = 138,001,028.75

If the quotient is a whole number, then 4 and 138,001,028.75 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:

1 552,004,115
-1 552,004,115
Keep dividing by the next highest number until you cannot divide anymore.

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

15134143652052155335591,7632,6652,7954,8178,81522,91924,08562,621114,595197,497207,131313,105987,4851,035,6552,567,4612,692,7038,492,37112,837,30513,463,51542,461,855110,400,823552,004,115
-1-5-13-41-43-65-205-215-533-559-1,763-2,665-2,795-4,817-8,815-22,919-24,085-62,621-114,595-197,497-207,131-313,105-987,485-1,035,655-2,567,461-2,692,703-8,492,371-12,837,305-13,463,515-42,461,855-110,400,823-552,004,115

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