Q: What are the factor combinations of the number 32,006,165?

 A:
Positive:   1 x 320061655 x 640123319 x 168453595 x 336907199 x 160835995 x 321671693 x 189053781 x 8465
Negative: -1 x -32006165-5 x -6401233-19 x -1684535-95 x -336907-199 x -160835-995 x -32167-1693 x -18905-3781 x -8465


How do I find the factor combinations of the number 32,006,165?

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 32,006,165, 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 32,006,165
-1 -32,006,165

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 32,006,165.

Example:
1 x 32,006,165 = 32,006,165
and
-1 x -32,006,165 = 32,006,165
Notice both answers equal 32,006,165

With that explanation out of the way, let's continue. Next, we take the number 32,006,165 and divide it by 2:

32,006,165 ÷ 2 = 16,003,082.5

If the quotient is a whole number, then 2 and 16,003,082.5 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 32,006,165
-1 -32,006,165

Now, we try dividing 32,006,165 by 3:

32,006,165 ÷ 3 = 10,668,721.6667

If the quotient is a whole number, then 3 and 10,668,721.6667 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 32,006,165
-1 -32,006,165

Let's try dividing by 4:

32,006,165 ÷ 4 = 8,001,541.25

If the quotient is a whole number, then 4 and 8,001,541.25 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 32,006,165
-1 32,006,165
Keep dividing by the next highest number until you cannot divide anymore.

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

1519951999951,6933,7818,46518,90532,167160,835336,9071,684,5356,401,23332,006,165
-1-5-19-95-199-995-1,693-3,781-8,465-18,905-32,167-160,835-336,907-1,684,535-6,401,233-32,006,165

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