Q: What are the factor combinations of the number 165,305,215?

 A:
Positive:   1 x 1653052155 x 3306104373 x 2264455103 x 1604905365 x 452891515 x 3209814397 x 375957519 x 21985
Negative: -1 x -165305215-5 x -33061043-73 x -2264455-103 x -1604905-365 x -452891-515 x -320981-4397 x -37595-7519 x -21985


How do I find the factor combinations of the number 165,305,215?

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 165,305,215, 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.

1 165,305,215
-1 -165,305,215

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 165,305,215.

Example:
1 x 165,305,215 = 165,305,215
and
-1 x -165,305,215 = 165,305,215
Notice both answers equal 165,305,215

With that explanation out of the way, let's continue. Next, we take the number 165,305,215 and divide it by 2:

165,305,215 ÷ 2 = 82,652,607.5

If the quotient is a whole number, then 2 and 82,652,607.5 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:

1 165,305,215
-1 -165,305,215

Now, we try dividing 165,305,215 by 3:

165,305,215 ÷ 3 = 55,101,738.3333

If the quotient is a whole number, then 3 and 55,101,738.3333 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:

1 165,305,215
-1 -165,305,215

Let's try dividing by 4:

165,305,215 ÷ 4 = 41,326,303.75

If the quotient is a whole number, then 4 and 41,326,303.75 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:

1 165,305,215
-1 165,305,215
Keep dividing by the next highest number until you cannot divide anymore.

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

15731033655154,3977,51921,98537,595320,981452,8911,604,9052,264,45533,061,043165,305,215
-1-5-73-103-365-515-4,397-7,519-21,985-37,595-320,981-452,891-1,604,905-2,264,455-33,061,043-165,305,215

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