Q: What are the factor combinations of the number 156,163,133?

 A:
Positive:   1 x 1561631337 x 2230901973 x 2139221511 x 305603
Negative: -1 x -156163133-7 x -22309019-73 x -2139221-511 x -305603


How do I find the factor combinations of the number 156,163,133?

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 156,163,133, 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.

1 156,163,133
-1 -156,163,133

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 156,163,133.

Example:
1 x 156,163,133 = 156,163,133
and
-1 x -156,163,133 = 156,163,133
Notice both answers equal 156,163,133

With that explanation out of the way, let's continue. Next, we take the number 156,163,133 and divide it by 2:

156,163,133 ÷ 2 = 78,081,566.5

If the quotient is a whole number, then 2 and 78,081,566.5 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:

1 156,163,133
-1 -156,163,133

Now, we try dividing 156,163,133 by 3:

156,163,133 ÷ 3 = 52,054,377.6667

If the quotient is a whole number, then 3 and 52,054,377.6667 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:

1 156,163,133
-1 -156,163,133

Let's try dividing by 4:

156,163,133 ÷ 4 = 39,040,783.25

If the quotient is a whole number, then 4 and 39,040,783.25 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:

1 156,163,133
-1 156,163,133
Keep dividing by the next highest number until you cannot divide anymore.

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

1773511305,6032,139,22122,309,019156,163,133
-1-7-73-511-305,603-2,139,221-22,309,019-156,163,133

More Examples

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