Q: What are the factor combinations of the number 162,606,125?

 A:
Positive:   1 x 1626061255 x 3252122511 x 1478237525 x 650424555 x 2956475125 x 1300849275 x 5912951375 x 118259
Negative: -1 x -162606125-5 x -32521225-11 x -14782375-25 x -6504245-55 x -2956475-125 x -1300849-275 x -591295-1375 x -118259


How do I find the factor combinations of the number 162,606,125?

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 162,606,125, 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.

1 162,606,125
-1 -162,606,125

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 162,606,125.

Example:
1 x 162,606,125 = 162,606,125
and
-1 x -162,606,125 = 162,606,125
Notice both answers equal 162,606,125

With that explanation out of the way, let's continue. Next, we take the number 162,606,125 and divide it by 2:

162,606,125 ÷ 2 = 81,303,062.5

If the quotient is a whole number, then 2 and 81,303,062.5 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:

1 162,606,125
-1 -162,606,125

Now, we try dividing 162,606,125 by 3:

162,606,125 ÷ 3 = 54,202,041.6667

If the quotient is a whole number, then 3 and 54,202,041.6667 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:

1 162,606,125
-1 -162,606,125

Let's try dividing by 4:

162,606,125 ÷ 4 = 40,651,531.25

If the quotient is a whole number, then 4 and 40,651,531.25 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:

1 162,606,125
-1 162,606,125
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551252751,375118,259591,2951,300,8492,956,4756,504,24514,782,37532,521,225162,606,125
-1-5-11-25-55-125-275-1,375-118,259-591,295-1,300,849-2,956,475-6,504,245-14,782,375-32,521,225-162,606,125

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