Q: What are the factor combinations of the number 184,881,709?

 A:
Positive:   1 x 18488170997 x 1905997397 x 4656974801 x 38509
Negative: -1 x -184881709-97 x -1905997-397 x -465697-4801 x -38509


How do I find the factor combinations of the number 184,881,709?

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 184,881,709, 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.

1 184,881,709
-1 -184,881,709

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 184,881,709.

Example:
1 x 184,881,709 = 184,881,709
and
-1 x -184,881,709 = 184,881,709
Notice both answers equal 184,881,709

With that explanation out of the way, let's continue. Next, we take the number 184,881,709 and divide it by 2:

184,881,709 ÷ 2 = 92,440,854.5

If the quotient is a whole number, then 2 and 92,440,854.5 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:

1 184,881,709
-1 -184,881,709

Now, we try dividing 184,881,709 by 3:

184,881,709 ÷ 3 = 61,627,236.3333

If the quotient is a whole number, then 3 and 61,627,236.3333 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:

1 184,881,709
-1 -184,881,709

Let's try dividing by 4:

184,881,709 ÷ 4 = 46,220,427.25

If the quotient is a whole number, then 4 and 46,220,427.25 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:

1 184,881,709
-1 184,881,709
Keep dividing by the next highest number until you cannot divide anymore.

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

1973974,80138,509465,6971,905,997184,881,709
-1-97-397-4,801-38,509-465,697-1,905,997-184,881,709

More Examples

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