Q: What are the factor combinations of the number 165,632,645?

 A:
Positive:   1 x 1656326455 x 33126529157 x 1054985257 x 644485785 x 210997821 x 2017451285 x 1288974105 x 40349
Negative: -1 x -165632645-5 x -33126529-157 x -1054985-257 x -644485-785 x -210997-821 x -201745-1285 x -128897-4105 x -40349


How do I find the factor combinations of the number 165,632,645?

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 165,632,645, 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.

1 165,632,645
-1 -165,632,645

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 165,632,645.

Example:
1 x 165,632,645 = 165,632,645
and
-1 x -165,632,645 = 165,632,645
Notice both answers equal 165,632,645

With that explanation out of the way, let's continue. Next, we take the number 165,632,645 and divide it by 2:

165,632,645 ÷ 2 = 82,816,322.5

If the quotient is a whole number, then 2 and 82,816,322.5 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:

1 165,632,645
-1 -165,632,645

Now, we try dividing 165,632,645 by 3:

165,632,645 ÷ 3 = 55,210,881.6667

If the quotient is a whole number, then 3 and 55,210,881.6667 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:

1 165,632,645
-1 -165,632,645

Let's try dividing by 4:

165,632,645 ÷ 4 = 41,408,161.25

If the quotient is a whole number, then 4 and 41,408,161.25 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:

1 165,632,645
-1 165,632,645
Keep dividing by the next highest number until you cannot divide anymore.

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

151572577858211,2854,10540,349128,897201,745210,997644,4851,054,98533,126,529165,632,645
-1-5-157-257-785-821-1,285-4,105-40,349-128,897-201,745-210,997-644,485-1,054,985-33,126,529-165,632,645

More Examples

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