Q: What are the factor combinations of the number 123,340,129?

 A:
Positive:   1 x 12334012911 x 1121273937 x 3333517179 x 689051407 x 3030471693 x 728531969 x 626416623 x 18623
Negative: -1 x -123340129-11 x -11212739-37 x -3333517-179 x -689051-407 x -303047-1693 x -72853-1969 x -62641-6623 x -18623


How do I find the factor combinations of the number 123,340,129?

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 123,340,129, 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.

1 123,340,129
-1 -123,340,129

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 123,340,129.

Example:
1 x 123,340,129 = 123,340,129
and
-1 x -123,340,129 = 123,340,129
Notice both answers equal 123,340,129

With that explanation out of the way, let's continue. Next, we take the number 123,340,129 and divide it by 2:

123,340,129 ÷ 2 = 61,670,064.5

If the quotient is a whole number, then 2 and 61,670,064.5 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:

1 123,340,129
-1 -123,340,129

Now, we try dividing 123,340,129 by 3:

123,340,129 ÷ 3 = 41,113,376.3333

If the quotient is a whole number, then 3 and 41,113,376.3333 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:

1 123,340,129
-1 -123,340,129

Let's try dividing by 4:

123,340,129 ÷ 4 = 30,835,032.25

If the quotient is a whole number, then 4 and 30,835,032.25 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:

1 123,340,129
-1 123,340,129
Keep dividing by the next highest number until you cannot divide anymore.

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

111371794071,6931,9696,62318,62362,64172,853303,047689,0513,333,51711,212,739123,340,129
-1-11-37-179-407-1,693-1,969-6,623-18,623-62,641-72,853-303,047-689,051-3,333,517-11,212,739-123,340,129

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