Q: What are the factor combinations of the number 553,113,247?

 A:
Positive:   1 x 55311324741 x 1349056753 x 10436099331 x 1671037769 x 7192632173 x 25453913571 x 4075717543 x 31529
Negative: -1 x -553113247-41 x -13490567-53 x -10436099-331 x -1671037-769 x -719263-2173 x -254539-13571 x -40757-17543 x -31529


How do I find the factor combinations of the number 553,113,247?

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 553,113,247, 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.

1 553,113,247
-1 -553,113,247

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 553,113,247.

Example:
1 x 553,113,247 = 553,113,247
and
-1 x -553,113,247 = 553,113,247
Notice both answers equal 553,113,247

With that explanation out of the way, let's continue. Next, we take the number 553,113,247 and divide it by 2:

553,113,247 ÷ 2 = 276,556,623.5

If the quotient is a whole number, then 2 and 276,556,623.5 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:

1 553,113,247
-1 -553,113,247

Now, we try dividing 553,113,247 by 3:

553,113,247 ÷ 3 = 184,371,082.3333

If the quotient is a whole number, then 3 and 184,371,082.3333 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:

1 553,113,247
-1 -553,113,247

Let's try dividing by 4:

553,113,247 ÷ 4 = 138,278,311.75

If the quotient is a whole number, then 4 and 138,278,311.75 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:

1 553,113,247
-1 553,113,247
Keep dividing by the next highest number until you cannot divide anymore.

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

141533317692,17313,57117,54331,52940,757254,539719,2631,671,03710,436,09913,490,567553,113,247
-1-41-53-331-769-2,173-13,571-17,543-31,529-40,757-254,539-719,263-1,671,037-10,436,099-13,490,567-553,113,247

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