Q: What are the factor combinations of the number 162,531,523?

 A:
Positive:   1 x 1625315237 x 2321878911 x 1477559377 x 2110799101 x 1609223707 x 2298891111 x 1462937777 x 20899
Negative: -1 x -162531523-7 x -23218789-11 x -14775593-77 x -2110799-101 x -1609223-707 x -229889-1111 x -146293-7777 x -20899


How do I find the factor combinations of the number 162,531,523?

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 162,531,523, 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.

1 162,531,523
-1 -162,531,523

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 162,531,523.

Example:
1 x 162,531,523 = 162,531,523
and
-1 x -162,531,523 = 162,531,523
Notice both answers equal 162,531,523

With that explanation out of the way, let's continue. Next, we take the number 162,531,523 and divide it by 2:

162,531,523 ÷ 2 = 81,265,761.5

If the quotient is a whole number, then 2 and 81,265,761.5 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:

1 162,531,523
-1 -162,531,523

Now, we try dividing 162,531,523 by 3:

162,531,523 ÷ 3 = 54,177,174.3333

If the quotient is a whole number, then 3 and 54,177,174.3333 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:

1 162,531,523
-1 -162,531,523

Let's try dividing by 4:

162,531,523 ÷ 4 = 40,632,880.75

If the quotient is a whole number, then 4 and 40,632,880.75 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:

1 162,531,523
-1 162,531,523
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771017071,1117,77720,899146,293229,8891,609,2232,110,79914,775,59323,218,789162,531,523
-1-7-11-77-101-707-1,111-7,777-20,899-146,293-229,889-1,609,223-2,110,799-14,775,593-23,218,789-162,531,523

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