Q: What are the factor combinations of the number 166,364,431?

 A:
Positive:   1 x 16636443117 x 978614371 x 2343161337 x 493663409 x 4067591207 x 1378335729 x 290396953 x 23927
Negative: -1 x -166364431-17 x -9786143-71 x -2343161-337 x -493663-409 x -406759-1207 x -137833-5729 x -29039-6953 x -23927


How do I find the factor combinations of the number 166,364,431?

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 166,364,431, 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.

1 166,364,431
-1 -166,364,431

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 166,364,431.

Example:
1 x 166,364,431 = 166,364,431
and
-1 x -166,364,431 = 166,364,431
Notice both answers equal 166,364,431

With that explanation out of the way, let's continue. Next, we take the number 166,364,431 and divide it by 2:

166,364,431 ÷ 2 = 83,182,215.5

If the quotient is a whole number, then 2 and 83,182,215.5 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:

1 166,364,431
-1 -166,364,431

Now, we try dividing 166,364,431 by 3:

166,364,431 ÷ 3 = 55,454,810.3333

If the quotient is a whole number, then 3 and 55,454,810.3333 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:

1 166,364,431
-1 -166,364,431

Let's try dividing by 4:

166,364,431 ÷ 4 = 41,591,107.75

If the quotient is a whole number, then 4 and 41,591,107.75 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:

1 166,364,431
-1 166,364,431
Keep dividing by the next highest number until you cannot divide anymore.

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

117713374091,2075,7296,95323,92729,039137,833406,759493,6632,343,1619,786,143166,364,431
-1-17-71-337-409-1,207-5,729-6,953-23,927-29,039-137,833-406,759-493,663-2,343,161-9,786,143-166,364,431

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