Q: What are the factor combinations of the number 536,164,166?

 A:
Positive:   1 x 5361641662 x 2680820832207 x 2429384414 x 121469
Negative: -1 x -536164166-2 x -268082083-2207 x -242938-4414 x -121469


How do I find the factor combinations of the number 536,164,166?

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 536,164,166, 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.

1 536,164,166
-1 -536,164,166

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 536,164,166.

Example:
1 x 536,164,166 = 536,164,166
and
-1 x -536,164,166 = 536,164,166
Notice both answers equal 536,164,166

With that explanation out of the way, let's continue. Next, we take the number 536,164,166 and divide it by 2:

536,164,166 ÷ 2 = 268,082,083

If the quotient is a whole number, then 2 and 268,082,083 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 268,082,083 536,164,166
-1 -2 -268,082,083 -536,164,166

Now, we try dividing 536,164,166 by 3:

536,164,166 ÷ 3 = 178,721,388.6667

If the quotient is a whole number, then 3 and 178,721,388.6667 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 2 268,082,083 536,164,166
-1 -2 -268,082,083 -536,164,166

Let's try dividing by 4:

536,164,166 ÷ 4 = 134,041,041.5

If the quotient is a whole number, then 4 and 134,041,041.5 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 2 268,082,083 536,164,166
-1 -2 -268,082,083 536,164,166
Keep dividing by the next highest number until you cannot divide anymore.

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

122,2074,414121,469242,938268,082,083536,164,166
-1-2-2,207-4,414-121,469-242,938-268,082,083-536,164,166

More Examples

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