Q: What are the factor combinations of the number 163,302,223?

 A:
Positive:   1 x 1633022237 x 23328889107 x 1526189263 x 620921749 x 218027829 x 1969871841 x 887035803 x 28141
Negative: -1 x -163302223-7 x -23328889-107 x -1526189-263 x -620921-749 x -218027-829 x -196987-1841 x -88703-5803 x -28141


How do I find the factor combinations of the number 163,302,223?

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 163,302,223, 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.

1 163,302,223
-1 -163,302,223

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 163,302,223.

Example:
1 x 163,302,223 = 163,302,223
and
-1 x -163,302,223 = 163,302,223
Notice both answers equal 163,302,223

With that explanation out of the way, let's continue. Next, we take the number 163,302,223 and divide it by 2:

163,302,223 ÷ 2 = 81,651,111.5

If the quotient is a whole number, then 2 and 81,651,111.5 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:

1 163,302,223
-1 -163,302,223

Now, we try dividing 163,302,223 by 3:

163,302,223 ÷ 3 = 54,434,074.3333

If the quotient is a whole number, then 3 and 54,434,074.3333 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:

1 163,302,223
-1 -163,302,223

Let's try dividing by 4:

163,302,223 ÷ 4 = 40,825,555.75

If the quotient is a whole number, then 4 and 40,825,555.75 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:

1 163,302,223
-1 163,302,223
Keep dividing by the next highest number until you cannot divide anymore.

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

171072637498291,8415,80328,14188,703196,987218,027620,9211,526,18923,328,889163,302,223
-1-7-107-263-749-829-1,841-5,803-28,141-88,703-196,987-218,027-620,921-1,526,189-23,328,889-163,302,223

More Examples

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