Q: What are the factor combinations of the number 553,322,069?

 A:
Positive:   1 x 55332206917 x 3254835731 x 17849099527 x 1049947601 x 9206691747 x 31672710217 x 5415718631 x 29699
Negative: -1 x -553322069-17 x -32548357-31 x -17849099-527 x -1049947-601 x -920669-1747 x -316727-10217 x -54157-18631 x -29699


How do I find the factor combinations of the number 553,322,069?

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 553,322,069, 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.

1 553,322,069
-1 -553,322,069

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 553,322,069.

Example:
1 x 553,322,069 = 553,322,069
and
-1 x -553,322,069 = 553,322,069
Notice both answers equal 553,322,069

With that explanation out of the way, let's continue. Next, we take the number 553,322,069 and divide it by 2:

553,322,069 ÷ 2 = 276,661,034.5

If the quotient is a whole number, then 2 and 276,661,034.5 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:

1 553,322,069
-1 -553,322,069

Now, we try dividing 553,322,069 by 3:

553,322,069 ÷ 3 = 184,440,689.6667

If the quotient is a whole number, then 3 and 184,440,689.6667 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:

1 553,322,069
-1 -553,322,069

Let's try dividing by 4:

553,322,069 ÷ 4 = 138,330,517.25

If the quotient is a whole number, then 4 and 138,330,517.25 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:

1 553,322,069
-1 553,322,069
Keep dividing by the next highest number until you cannot divide anymore.

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

117315276011,74710,21718,63129,69954,157316,727920,6691,049,94717,849,09932,548,357553,322,069
-1-17-31-527-601-1,747-10,217-18,631-29,699-54,157-316,727-920,669-1,049,947-17,849,099-32,548,357-553,322,069

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