Q: What are the factor combinations of the number 32,166,071?

 A:
Positive:   1 x 321660717 x 459515353 x 606907277 x 116123313 x 102767371 x 867011939 x 165892191 x 14681
Negative: -1 x -32166071-7 x -4595153-53 x -606907-277 x -116123-313 x -102767-371 x -86701-1939 x -16589-2191 x -14681


How do I find the factor combinations of the number 32,166,071?

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 32,166,071, 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 32,166,071
-1 -32,166,071

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 32,166,071.

Example:
1 x 32,166,071 = 32,166,071
and
-1 x -32,166,071 = 32,166,071
Notice both answers equal 32,166,071

With that explanation out of the way, let's continue. Next, we take the number 32,166,071 and divide it by 2:

32,166,071 ÷ 2 = 16,083,035.5

If the quotient is a whole number, then 2 and 16,083,035.5 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 32,166,071
-1 -32,166,071

Now, we try dividing 32,166,071 by 3:

32,166,071 ÷ 3 = 10,722,023.6667

If the quotient is a whole number, then 3 and 10,722,023.6667 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 32,166,071
-1 -32,166,071

Let's try dividing by 4:

32,166,071 ÷ 4 = 8,041,517.75

If the quotient is a whole number, then 4 and 8,041,517.75 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 32,166,071
-1 32,166,071
Keep dividing by the next highest number until you cannot divide anymore.

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

17532773133711,9392,19114,68116,58986,701102,767116,123606,9074,595,15332,166,071
-1-7-53-277-313-371-1,939-2,191-14,681-16,589-86,701-102,767-116,123-606,907-4,595,153-32,166,071

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