Q: What are the factor combinations of the number 552,363,665?

 A:
Positive:   1 x 5523636655 x 1104727337 x 7890909535 x 157818192311 x 2390156829 x 8088511555 x 4780316177 x 34145
Negative: -1 x -552363665-5 x -110472733-7 x -78909095-35 x -15781819-2311 x -239015-6829 x -80885-11555 x -47803-16177 x -34145


How do I find the factor combinations of the number 552,363,665?

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 552,363,665, 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.

1 552,363,665
-1 -552,363,665

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 552,363,665.

Example:
1 x 552,363,665 = 552,363,665
and
-1 x -552,363,665 = 552,363,665
Notice both answers equal 552,363,665

With that explanation out of the way, let's continue. Next, we take the number 552,363,665 and divide it by 2:

552,363,665 ÷ 2 = 276,181,832.5

If the quotient is a whole number, then 2 and 276,181,832.5 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:

1 552,363,665
-1 -552,363,665

Now, we try dividing 552,363,665 by 3:

552,363,665 ÷ 3 = 184,121,221.6667

If the quotient is a whole number, then 3 and 184,121,221.6667 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:

1 552,363,665
-1 -552,363,665

Let's try dividing by 4:

552,363,665 ÷ 4 = 138,090,916.25

If the quotient is a whole number, then 4 and 138,090,916.25 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:

1 552,363,665
-1 552,363,665
Keep dividing by the next highest number until you cannot divide anymore.

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

157352,3116,82911,55516,17734,14547,80380,885239,01515,781,81978,909,095110,472,733552,363,665
-1-5-7-35-2,311-6,829-11,555-16,177-34,145-47,803-80,885-239,015-15,781,819-78,909,095-110,472,733-552,363,665

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