Q: What are the factor combinations of the number 162,650,239?

 A:
Positive:   1 x 16265023941 x 39670791061 x 1532993739 x 43501
Negative: -1 x -162650239-41 x -3967079-1061 x -153299-3739 x -43501


How do I find the factor combinations of the number 162,650,239?

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 162,650,239, 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.

1 162,650,239
-1 -162,650,239

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 162,650,239.

Example:
1 x 162,650,239 = 162,650,239
and
-1 x -162,650,239 = 162,650,239
Notice both answers equal 162,650,239

With that explanation out of the way, let's continue. Next, we take the number 162,650,239 and divide it by 2:

162,650,239 ÷ 2 = 81,325,119.5

If the quotient is a whole number, then 2 and 81,325,119.5 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:

1 162,650,239
-1 -162,650,239

Now, we try dividing 162,650,239 by 3:

162,650,239 ÷ 3 = 54,216,746.3333

If the quotient is a whole number, then 3 and 54,216,746.3333 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:

1 162,650,239
-1 -162,650,239

Let's try dividing by 4:

162,650,239 ÷ 4 = 40,662,559.75

If the quotient is a whole number, then 4 and 40,662,559.75 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:

1 162,650,239
-1 162,650,239
Keep dividing by the next highest number until you cannot divide anymore.

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

1411,0613,73943,501153,2993,967,079162,650,239
-1-41-1,061-3,739-43,501-153,299-3,967,079-162,650,239

More Examples

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