Q: What are the factor combinations of the number 163,532,333?

 A:
Positive:   1 x 16353233317 x 96195491997 x 818894817 x 33949
Negative: -1 x -163532333-17 x -9619549-1997 x -81889-4817 x -33949


How do I find the factor combinations of the number 163,532,333?

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 163,532,333, 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.

1 163,532,333
-1 -163,532,333

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 163,532,333.

Example:
1 x 163,532,333 = 163,532,333
and
-1 x -163,532,333 = 163,532,333
Notice both answers equal 163,532,333

With that explanation out of the way, let's continue. Next, we take the number 163,532,333 and divide it by 2:

163,532,333 ÷ 2 = 81,766,166.5

If the quotient is a whole number, then 2 and 81,766,166.5 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:

1 163,532,333
-1 -163,532,333

Now, we try dividing 163,532,333 by 3:

163,532,333 ÷ 3 = 54,510,777.6667

If the quotient is a whole number, then 3 and 54,510,777.6667 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:

1 163,532,333
-1 -163,532,333

Let's try dividing by 4:

163,532,333 ÷ 4 = 40,883,083.25

If the quotient is a whole number, then 4 and 40,883,083.25 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:

1 163,532,333
-1 163,532,333
Keep dividing by the next highest number until you cannot divide anymore.

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

1171,9974,81733,94981,8899,619,549163,532,333
-1-17-1,997-4,817-33,949-81,889-9,619,549-163,532,333

More Examples

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