Q: What are the factor combinations of the number 162,350,323?

 A:
Positive:   1 x 16235032317 x 955001929 x 5598287127 x 1278349493 x 3293112159 x 751972593 x 626113683 x 44081
Negative: -1 x -162350323-17 x -9550019-29 x -5598287-127 x -1278349-493 x -329311-2159 x -75197-2593 x -62611-3683 x -44081


How do I find the factor combinations of the number 162,350,323?

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 162,350,323, 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.

1 162,350,323
-1 -162,350,323

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 162,350,323.

Example:
1 x 162,350,323 = 162,350,323
and
-1 x -162,350,323 = 162,350,323
Notice both answers equal 162,350,323

With that explanation out of the way, let's continue. Next, we take the number 162,350,323 and divide it by 2:

162,350,323 ÷ 2 = 81,175,161.5

If the quotient is a whole number, then 2 and 81,175,161.5 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:

1 162,350,323
-1 -162,350,323

Now, we try dividing 162,350,323 by 3:

162,350,323 ÷ 3 = 54,116,774.3333

If the quotient is a whole number, then 3 and 54,116,774.3333 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:

1 162,350,323
-1 -162,350,323

Let's try dividing by 4:

162,350,323 ÷ 4 = 40,587,580.75

If the quotient is a whole number, then 4 and 40,587,580.75 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:

1 162,350,323
-1 162,350,323
Keep dividing by the next highest number until you cannot divide anymore.

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

117291274932,1592,5933,68344,08162,61175,197329,3111,278,3495,598,2879,550,019162,350,323
-1-17-29-127-493-2,159-2,593-3,683-44,081-62,611-75,197-329,311-1,278,349-5,598,287-9,550,019-162,350,323

More Examples

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