Q: What are the factor combinations of the number 553,216,015?

 A:
Positive:   1 x 5532160155 x 11064320311 x 5029236555 x 1005847361 x 9069115305 x 1813823671 x 8244653355 x 164893
Negative: -1 x -553216015-5 x -110643203-11 x -50292365-55 x -10058473-61 x -9069115-305 x -1813823-671 x -824465-3355 x -164893


How do I find the factor combinations of the number 553,216,015?

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 553,216,015, 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.

1 553,216,015
-1 -553,216,015

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 553,216,015.

Example:
1 x 553,216,015 = 553,216,015
and
-1 x -553,216,015 = 553,216,015
Notice both answers equal 553,216,015

With that explanation out of the way, let's continue. Next, we take the number 553,216,015 and divide it by 2:

553,216,015 ÷ 2 = 276,608,007.5

If the quotient is a whole number, then 2 and 276,608,007.5 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:

1 553,216,015
-1 -553,216,015

Now, we try dividing 553,216,015 by 3:

553,216,015 ÷ 3 = 184,405,338.3333

If the quotient is a whole number, then 3 and 184,405,338.3333 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:

1 553,216,015
-1 -553,216,015

Let's try dividing by 4:

553,216,015 ÷ 4 = 138,304,003.75

If the quotient is a whole number, then 4 and 138,304,003.75 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:

1 553,216,015
-1 553,216,015
Keep dividing by the next highest number until you cannot divide anymore.

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

151155613056713,355164,893824,4651,813,8239,069,11510,058,47350,292,365110,643,203553,216,015
-1-5-11-55-61-305-671-3,355-164,893-824,465-1,813,823-9,069,115-10,058,473-50,292,365-110,643,203-553,216,015

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