Q: What are the factor combinations of the number 553,213,609?

 A:
Positive:   1 x 55321360913 x 4255489317 x 32541977221 x 2503229821 x 6738293049 x 18144110673 x 5183313957 x 39637
Negative: -1 x -553213609-13 x -42554893-17 x -32541977-221 x -2503229-821 x -673829-3049 x -181441-10673 x -51833-13957 x -39637


How do I find the factor combinations of the number 553,213,609?

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 553,213,609, 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.

1 553,213,609
-1 -553,213,609

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 553,213,609.

Example:
1 x 553,213,609 = 553,213,609
and
-1 x -553,213,609 = 553,213,609
Notice both answers equal 553,213,609

With that explanation out of the way, let's continue. Next, we take the number 553,213,609 and divide it by 2:

553,213,609 ÷ 2 = 276,606,804.5

If the quotient is a whole number, then 2 and 276,606,804.5 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:

1 553,213,609
-1 -553,213,609

Now, we try dividing 553,213,609 by 3:

553,213,609 ÷ 3 = 184,404,536.3333

If the quotient is a whole number, then 3 and 184,404,536.3333 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:

1 553,213,609
-1 -553,213,609

Let's try dividing by 4:

553,213,609 ÷ 4 = 138,303,402.25

If the quotient is a whole number, then 4 and 138,303,402.25 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:

1 553,213,609
-1 553,213,609
Keep dividing by the next highest number until you cannot divide anymore.

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

113172218213,04910,67313,95739,63751,833181,441673,8292,503,22932,541,97742,554,893553,213,609
-1-13-17-221-821-3,049-10,673-13,957-39,637-51,833-181,441-673,829-2,503,229-32,541,977-42,554,893-553,213,609

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