Q: What are the factor combinations of the number 162,345,215?

 A:
Positive:   1 x 1623452155 x 3246904319 x 854448595 x 1708897107 x 1517245535 x 3034492033 x 7985510165 x 15971
Negative: -1 x -162345215-5 x -32469043-19 x -8544485-95 x -1708897-107 x -1517245-535 x -303449-2033 x -79855-10165 x -15971


How do I find the factor combinations of the number 162,345,215?

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 162,345,215, 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.

1 162,345,215
-1 -162,345,215

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 162,345,215.

Example:
1 x 162,345,215 = 162,345,215
and
-1 x -162,345,215 = 162,345,215
Notice both answers equal 162,345,215

With that explanation out of the way, let's continue. Next, we take the number 162,345,215 and divide it by 2:

162,345,215 ÷ 2 = 81,172,607.5

If the quotient is a whole number, then 2 and 81,172,607.5 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:

1 162,345,215
-1 -162,345,215

Now, we try dividing 162,345,215 by 3:

162,345,215 ÷ 3 = 54,115,071.6667

If the quotient is a whole number, then 3 and 54,115,071.6667 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:

1 162,345,215
-1 -162,345,215

Let's try dividing by 4:

162,345,215 ÷ 4 = 40,586,303.75

If the quotient is a whole number, then 4 and 40,586,303.75 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:

1 162,345,215
-1 162,345,215
Keep dividing by the next highest number until you cannot divide anymore.

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

1519951075352,03310,16515,97179,855303,4491,517,2451,708,8978,544,48532,469,043162,345,215
-1-5-19-95-107-535-2,033-10,165-15,971-79,855-303,449-1,517,245-1,708,897-8,544,485-32,469,043-162,345,215

More Examples

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