Q: What are the factor combinations of the number 164,231,345?

 A:
Positive:   1 x 1642313455 x 3284626919 x 864375537 x 443868595 x 1728751185 x 887737703 x 2336153515 x 46723
Negative: -1 x -164231345-5 x -32846269-19 x -8643755-37 x -4438685-95 x -1728751-185 x -887737-703 x -233615-3515 x -46723


How do I find the factor combinations of the number 164,231,345?

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 164,231,345, 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.

1 164,231,345
-1 -164,231,345

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 164,231,345.

Example:
1 x 164,231,345 = 164,231,345
and
-1 x -164,231,345 = 164,231,345
Notice both answers equal 164,231,345

With that explanation out of the way, let's continue. Next, we take the number 164,231,345 and divide it by 2:

164,231,345 ÷ 2 = 82,115,672.5

If the quotient is a whole number, then 2 and 82,115,672.5 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:

1 164,231,345
-1 -164,231,345

Now, we try dividing 164,231,345 by 3:

164,231,345 ÷ 3 = 54,743,781.6667

If the quotient is a whole number, then 3 and 54,743,781.6667 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:

1 164,231,345
-1 -164,231,345

Let's try dividing by 4:

164,231,345 ÷ 4 = 41,057,836.25

If the quotient is a whole number, then 4 and 41,057,836.25 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:

1 164,231,345
-1 164,231,345
Keep dividing by the next highest number until you cannot divide anymore.

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

151937951857033,51546,723233,615887,7371,728,7514,438,6858,643,75532,846,269164,231,345
-1-5-19-37-95-185-703-3,515-46,723-233,615-887,737-1,728,751-4,438,685-8,643,755-32,846,269-164,231,345

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