Q: What are the factor combinations of the number 123,013,033?

 A:
Positive:   1 x 12301303311 x 1118300313 x 946254179 x 1557127143 x 860231869 x 1415571027 x 11977910889 x 11297
Negative: -1 x -123013033-11 x -11183003-13 x -9462541-79 x -1557127-143 x -860231-869 x -141557-1027 x -119779-10889 x -11297


How do I find the factor combinations of the number 123,013,033?

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 123,013,033, 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.

1 123,013,033
-1 -123,013,033

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 123,013,033.

Example:
1 x 123,013,033 = 123,013,033
and
-1 x -123,013,033 = 123,013,033
Notice both answers equal 123,013,033

With that explanation out of the way, let's continue. Next, we take the number 123,013,033 and divide it by 2:

123,013,033 ÷ 2 = 61,506,516.5

If the quotient is a whole number, then 2 and 61,506,516.5 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:

1 123,013,033
-1 -123,013,033

Now, we try dividing 123,013,033 by 3:

123,013,033 ÷ 3 = 41,004,344.3333

If the quotient is a whole number, then 3 and 41,004,344.3333 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:

1 123,013,033
-1 -123,013,033

Let's try dividing by 4:

123,013,033 ÷ 4 = 30,753,258.25

If the quotient is a whole number, then 4 and 30,753,258.25 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:

1 123,013,033
-1 123,013,033
Keep dividing by the next highest number until you cannot divide anymore.

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

11113791438691,02710,88911,297119,779141,557860,2311,557,1279,462,54111,183,003123,013,033
-1-11-13-79-143-869-1,027-10,889-11,297-119,779-141,557-860,231-1,557,127-9,462,541-11,183,003-123,013,033

More Examples

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