Q: What are the factor combinations of the number 162,435,539?

 A:
Positive:   1 x 1624355397 x 2320507749 x 3315011139 x 1168601343 x 473573973 x 1669433407 x 476776811 x 23849
Negative: -1 x -162435539-7 x -23205077-49 x -3315011-139 x -1168601-343 x -473573-973 x -166943-3407 x -47677-6811 x -23849


How do I find the factor combinations of the number 162,435,539?

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 162,435,539, 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.

1 162,435,539
-1 -162,435,539

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 162,435,539.

Example:
1 x 162,435,539 = 162,435,539
and
-1 x -162,435,539 = 162,435,539
Notice both answers equal 162,435,539

With that explanation out of the way, let's continue. Next, we take the number 162,435,539 and divide it by 2:

162,435,539 ÷ 2 = 81,217,769.5

If the quotient is a whole number, then 2 and 81,217,769.5 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:

1 162,435,539
-1 -162,435,539

Now, we try dividing 162,435,539 by 3:

162,435,539 ÷ 3 = 54,145,179.6667

If the quotient is a whole number, then 3 and 54,145,179.6667 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:

1 162,435,539
-1 -162,435,539

Let's try dividing by 4:

162,435,539 ÷ 4 = 40,608,884.75

If the quotient is a whole number, then 4 and 40,608,884.75 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:

1 162,435,539
-1 162,435,539
Keep dividing by the next highest number until you cannot divide anymore.

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

17491393439733,4076,81123,84947,677166,943473,5731,168,6013,315,01123,205,077162,435,539
-1-7-49-139-343-973-3,407-6,811-23,849-47,677-166,943-473,573-1,168,601-3,315,011-23,205,077-162,435,539

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