Q: What are the factor combinations of the number 162,336,209?

 A:
Positive:   1 x 1623362097 x 2319088719 x 8544011133 x 1220573239 x 6792311673 x 970334541 x 357495107 x 31787
Negative: -1 x -162336209-7 x -23190887-19 x -8544011-133 x -1220573-239 x -679231-1673 x -97033-4541 x -35749-5107 x -31787


How do I find the factor combinations of the number 162,336,209?

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 162,336,209, 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.

1 162,336,209
-1 -162,336,209

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 162,336,209.

Example:
1 x 162,336,209 = 162,336,209
and
-1 x -162,336,209 = 162,336,209
Notice both answers equal 162,336,209

With that explanation out of the way, let's continue. Next, we take the number 162,336,209 and divide it by 2:

162,336,209 ÷ 2 = 81,168,104.5

If the quotient is a whole number, then 2 and 81,168,104.5 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:

1 162,336,209
-1 -162,336,209

Now, we try dividing 162,336,209 by 3:

162,336,209 ÷ 3 = 54,112,069.6667

If the quotient is a whole number, then 3 and 54,112,069.6667 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:

1 162,336,209
-1 -162,336,209

Let's try dividing by 4:

162,336,209 ÷ 4 = 40,584,052.25

If the quotient is a whole number, then 4 and 40,584,052.25 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:

1 162,336,209
-1 162,336,209
Keep dividing by the next highest number until you cannot divide anymore.

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

17191332391,6734,5415,10731,78735,74997,033679,2311,220,5738,544,01123,190,887162,336,209
-1-7-19-133-239-1,673-4,541-5,107-31,787-35,749-97,033-679,231-1,220,573-8,544,011-23,190,887-162,336,209

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