Q: What are the factor combinations of the number 166,736,635?

 A:
Positive:   1 x 1667366355 x 3334732713 x 1282589565 x 25651791567 x 1064051637 x 1018557835 x 212818185 x 20371
Negative: -1 x -166736635-5 x -33347327-13 x -12825895-65 x -2565179-1567 x -106405-1637 x -101855-7835 x -21281-8185 x -20371


How do I find the factor combinations of the number 166,736,635?

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 166,736,635, 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.

1 166,736,635
-1 -166,736,635

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 166,736,635.

Example:
1 x 166,736,635 = 166,736,635
and
-1 x -166,736,635 = 166,736,635
Notice both answers equal 166,736,635

With that explanation out of the way, let's continue. Next, we take the number 166,736,635 and divide it by 2:

166,736,635 ÷ 2 = 83,368,317.5

If the quotient is a whole number, then 2 and 83,368,317.5 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:

1 166,736,635
-1 -166,736,635

Now, we try dividing 166,736,635 by 3:

166,736,635 ÷ 3 = 55,578,878.3333

If the quotient is a whole number, then 3 and 55,578,878.3333 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:

1 166,736,635
-1 -166,736,635

Let's try dividing by 4:

166,736,635 ÷ 4 = 41,684,158.75

If the quotient is a whole number, then 4 and 41,684,158.75 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:

1 166,736,635
-1 166,736,635
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651,5671,6377,8358,18520,37121,281101,855106,4052,565,17912,825,89533,347,327166,736,635
-1-5-13-65-1,567-1,637-7,835-8,185-20,371-21,281-101,855-106,405-2,565,179-12,825,895-33,347,327-166,736,635

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