Q: What are the factor combinations of the number 16,160,165?

 A:
Positive:   1 x 161601655 x 32320337 x 230859519 x 85053535 x 46171995 x 170107133 x 121505361 x 44765665 x 243011279 x 126351805 x 89532527 x 6395
Negative: -1 x -16160165-5 x -3232033-7 x -2308595-19 x -850535-35 x -461719-95 x -170107-133 x -121505-361 x -44765-665 x -24301-1279 x -12635-1805 x -8953-2527 x -6395


How do I find the factor combinations of the number 16,160,165?

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 16,160,165, 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 16,160,165
-1 -16,160,165

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 16,160,165.

Example:
1 x 16,160,165 = 16,160,165
and
-1 x -16,160,165 = 16,160,165
Notice both answers equal 16,160,165

With that explanation out of the way, let's continue. Next, we take the number 16,160,165 and divide it by 2:

16,160,165 ÷ 2 = 8,080,082.5

If the quotient is a whole number, then 2 and 8,080,082.5 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 16,160,165
-1 -16,160,165

Now, we try dividing 16,160,165 by 3:

16,160,165 ÷ 3 = 5,386,721.6667

If the quotient is a whole number, then 3 and 5,386,721.6667 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 16,160,165
-1 -16,160,165

Let's try dividing by 4:

16,160,165 ÷ 4 = 4,040,041.25

If the quotient is a whole number, then 4 and 4,040,041.25 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 16,160,165
-1 16,160,165
Keep dividing by the next highest number until you cannot divide anymore.

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

1571935951333616651,2791,8052,5276,3958,95312,63524,30144,765121,505170,107461,719850,5352,308,5953,232,03316,160,165
-1-5-7-19-35-95-133-361-665-1,279-1,805-2,527-6,395-8,953-12,635-24,301-44,765-121,505-170,107-461,719-850,535-2,308,595-3,232,033-16,160,165

More Examples

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