Q: What are the factor combinations of the number 162,051,775?

 A:
Positive:   1 x 1620517755 x 3241035525 x 6482071
Negative: -1 x -162051775-5 x -32410355-25 x -6482071


How do I find the factor combinations of the number 162,051,775?

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 162,051,775, 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.

1 162,051,775
-1 -162,051,775

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 162,051,775.

Example:
1 x 162,051,775 = 162,051,775
and
-1 x -162,051,775 = 162,051,775
Notice both answers equal 162,051,775

With that explanation out of the way, let's continue. Next, we take the number 162,051,775 and divide it by 2:

162,051,775 ÷ 2 = 81,025,887.5

If the quotient is a whole number, then 2 and 81,025,887.5 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:

1 162,051,775
-1 -162,051,775

Now, we try dividing 162,051,775 by 3:

162,051,775 ÷ 3 = 54,017,258.3333

If the quotient is a whole number, then 3 and 54,017,258.3333 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:

1 162,051,775
-1 -162,051,775

Let's try dividing by 4:

162,051,775 ÷ 4 = 40,512,943.75

If the quotient is a whole number, then 4 and 40,512,943.75 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:

1 162,051,775
-1 162,051,775
Keep dividing by the next highest number until you cannot divide anymore.

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

15256,482,07132,410,355162,051,775
-1-5-25-6,482,071-32,410,355-162,051,775

More Examples

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