Q: What are the factor combinations of the number 162,552,059?

 A:
Positive:   1 x 16255205979 x 2057621223 x 7289339227 x 17617
Negative: -1 x -162552059-79 x -2057621-223 x -728933-9227 x -17617


How do I find the factor combinations of the number 162,552,059?

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 162,552,059, 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.

1 162,552,059
-1 -162,552,059

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 162,552,059.

Example:
1 x 162,552,059 = 162,552,059
and
-1 x -162,552,059 = 162,552,059
Notice both answers equal 162,552,059

With that explanation out of the way, let's continue. Next, we take the number 162,552,059 and divide it by 2:

162,552,059 ÷ 2 = 81,276,029.5

If the quotient is a whole number, then 2 and 81,276,029.5 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:

1 162,552,059
-1 -162,552,059

Now, we try dividing 162,552,059 by 3:

162,552,059 ÷ 3 = 54,184,019.6667

If the quotient is a whole number, then 3 and 54,184,019.6667 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:

1 162,552,059
-1 -162,552,059

Let's try dividing by 4:

162,552,059 ÷ 4 = 40,638,014.75

If the quotient is a whole number, then 4 and 40,638,014.75 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:

1 162,552,059
-1 162,552,059
Keep dividing by the next highest number until you cannot divide anymore.

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

1792239,22717,617728,9332,057,621162,552,059
-1-79-223-9,227-17,617-728,933-2,057,621-162,552,059

More Examples

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