Q: What are the factor combinations of the number 552,425,155?

 A:
Positive:   1 x 5524251555 x 11048503123 x 24018485115 x 48036971063 x 5196854519 x 1222455315 x 10393722595 x 24449
Negative: -1 x -552425155-5 x -110485031-23 x -24018485-115 x -4803697-1063 x -519685-4519 x -122245-5315 x -103937-22595 x -24449


How do I find the factor combinations of the number 552,425,155?

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 552,425,155, 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.

1 552,425,155
-1 -552,425,155

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 552,425,155.

Example:
1 x 552,425,155 = 552,425,155
and
-1 x -552,425,155 = 552,425,155
Notice both answers equal 552,425,155

With that explanation out of the way, let's continue. Next, we take the number 552,425,155 and divide it by 2:

552,425,155 ÷ 2 = 276,212,577.5

If the quotient is a whole number, then 2 and 276,212,577.5 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:

1 552,425,155
-1 -552,425,155

Now, we try dividing 552,425,155 by 3:

552,425,155 ÷ 3 = 184,141,718.3333

If the quotient is a whole number, then 3 and 184,141,718.3333 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:

1 552,425,155
-1 -552,425,155

Let's try dividing by 4:

552,425,155 ÷ 4 = 138,106,288.75

If the quotient is a whole number, then 4 and 138,106,288.75 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:

1 552,425,155
-1 552,425,155
Keep dividing by the next highest number until you cannot divide anymore.

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

15231151,0634,5195,31522,59524,449103,937122,245519,6854,803,69724,018,485110,485,031552,425,155
-1-5-23-115-1,063-4,519-5,315-22,595-24,449-103,937-122,245-519,685-4,803,697-24,018,485-110,485,031-552,425,155

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