Q: What are the factor combinations of the number 162,333,625?

 A:
Positive:   1 x 1623336255 x 3246672519 x 854387525 x 649334595 x 1708775125 x 1298669475 x 3417552375 x 68351
Negative: -1 x -162333625-5 x -32466725-19 x -8543875-25 x -6493345-95 x -1708775-125 x -1298669-475 x -341755-2375 x -68351


How do I find the factor combinations of the number 162,333,625?

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 162,333,625, 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.

1 162,333,625
-1 -162,333,625

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 162,333,625.

Example:
1 x 162,333,625 = 162,333,625
and
-1 x -162,333,625 = 162,333,625
Notice both answers equal 162,333,625

With that explanation out of the way, let's continue. Next, we take the number 162,333,625 and divide it by 2:

162,333,625 ÷ 2 = 81,166,812.5

If the quotient is a whole number, then 2 and 81,166,812.5 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:

1 162,333,625
-1 -162,333,625

Now, we try dividing 162,333,625 by 3:

162,333,625 ÷ 3 = 54,111,208.3333

If the quotient is a whole number, then 3 and 54,111,208.3333 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:

1 162,333,625
-1 -162,333,625

Let's try dividing by 4:

162,333,625 ÷ 4 = 40,583,406.25

If the quotient is a whole number, then 4 and 40,583,406.25 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:

1 162,333,625
-1 162,333,625
Keep dividing by the next highest number until you cannot divide anymore.

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

151925951254752,37568,351341,7551,298,6691,708,7756,493,3458,543,87532,466,725162,333,625
-1-5-19-25-95-125-475-2,375-68,351-341,755-1,298,669-1,708,775-6,493,345-8,543,875-32,466,725-162,333,625

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