Q: What are the factor combinations of the number 162,033,625?

 A:
Positive:   1 x 1620336255 x 3240672513 x 1246412525 x 648134565 x 2492825125 x 1296269325 x 4985651625 x 99713
Negative: -1 x -162033625-5 x -32406725-13 x -12464125-25 x -6481345-65 x -2492825-125 x -1296269-325 x -498565-1625 x -99713


How do I find the factor combinations of the number 162,033,625?

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 162,033,625, 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.

1 162,033,625
-1 -162,033,625

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 162,033,625.

Example:
1 x 162,033,625 = 162,033,625
and
-1 x -162,033,625 = 162,033,625
Notice both answers equal 162,033,625

With that explanation out of the way, let's continue. Next, we take the number 162,033,625 and divide it by 2:

162,033,625 ÷ 2 = 81,016,812.5

If the quotient is a whole number, then 2 and 81,016,812.5 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:

1 162,033,625
-1 -162,033,625

Now, we try dividing 162,033,625 by 3:

162,033,625 ÷ 3 = 54,011,208.3333

If the quotient is a whole number, then 3 and 54,011,208.3333 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:

1 162,033,625
-1 -162,033,625

Let's try dividing by 4:

162,033,625 ÷ 4 = 40,508,406.25

If the quotient is a whole number, then 4 and 40,508,406.25 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:

1 162,033,625
-1 162,033,625
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651253251,62599,713498,5651,296,2692,492,8256,481,34512,464,12532,406,725162,033,625
-1-5-13-25-65-125-325-1,625-99,713-498,565-1,296,269-2,492,825-6,481,345-12,464,125-32,406,725-162,033,625

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