Q: What are the factor combinations of the number 323,166,155?

 A:
Positive:   1 x 3231661555 x 6463323113 x 2485893519 x 1700874565 x 497178795 x 3401749247 x 13083651235 x 261673
Negative: -1 x -323166155-5 x -64633231-13 x -24858935-19 x -17008745-65 x -4971787-95 x -3401749-247 x -1308365-1235 x -261673


How do I find the factor combinations of the number 323,166,155?

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 323,166,155, 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.

1 323,166,155
-1 -323,166,155

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 323,166,155.

Example:
1 x 323,166,155 = 323,166,155
and
-1 x -323,166,155 = 323,166,155
Notice both answers equal 323,166,155

With that explanation out of the way, let's continue. Next, we take the number 323,166,155 and divide it by 2:

323,166,155 ÷ 2 = 161,583,077.5

If the quotient is a whole number, then 2 and 161,583,077.5 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:

1 323,166,155
-1 -323,166,155

Now, we try dividing 323,166,155 by 3:

323,166,155 ÷ 3 = 107,722,051.6667

If the quotient is a whole number, then 3 and 107,722,051.6667 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:

1 323,166,155
-1 -323,166,155

Let's try dividing by 4:

323,166,155 ÷ 4 = 80,791,538.75

If the quotient is a whole number, then 4 and 80,791,538.75 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:

1 323,166,155
-1 323,166,155
Keep dividing by the next highest number until you cannot divide anymore.

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

15131965952471,235261,6731,308,3653,401,7494,971,78717,008,74524,858,93564,633,231323,166,155
-1-5-13-19-65-95-247-1,235-261,673-1,308,365-3,401,749-4,971,787-17,008,745-24,858,935-64,633,231-323,166,155

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