Q: What are the factor combinations of the number 164,362,103?

 A:
Positive:   1 x 16436210317 x 966835919 x 865063737 x 4442219289 x 568727323 x 508861629 x 261307703 x 233801809 x 2031675491 x 2993310693 x 1537111951 x 13753
Negative: -1 x -164362103-17 x -9668359-19 x -8650637-37 x -4442219-289 x -568727-323 x -508861-629 x -261307-703 x -233801-809 x -203167-5491 x -29933-10693 x -15371-11951 x -13753


How do I find the factor combinations of the number 164,362,103?

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 164,362,103, 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.

1 164,362,103
-1 -164,362,103

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 164,362,103.

Example:
1 x 164,362,103 = 164,362,103
and
-1 x -164,362,103 = 164,362,103
Notice both answers equal 164,362,103

With that explanation out of the way, let's continue. Next, we take the number 164,362,103 and divide it by 2:

164,362,103 ÷ 2 = 82,181,051.5

If the quotient is a whole number, then 2 and 82,181,051.5 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:

1 164,362,103
-1 -164,362,103

Now, we try dividing 164,362,103 by 3:

164,362,103 ÷ 3 = 54,787,367.6667

If the quotient is a whole number, then 3 and 54,787,367.6667 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:

1 164,362,103
-1 -164,362,103

Let's try dividing by 4:

164,362,103 ÷ 4 = 41,090,525.75

If the quotient is a whole number, then 4 and 41,090,525.75 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:

1 164,362,103
-1 164,362,103
Keep dividing by the next highest number until you cannot divide anymore.

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

11719372893236297038095,49110,69311,95113,75315,37129,933203,167233,801261,307508,861568,7274,442,2198,650,6379,668,359164,362,103
-1-17-19-37-289-323-629-703-809-5,491-10,693-11,951-13,753-15,371-29,933-203,167-233,801-261,307-508,861-568,727-4,442,219-8,650,637-9,668,359-164,362,103

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