Q: What are the factor combinations of the number 162,540,425?

 A:
Positive:   1 x 1625404255 x 3250808523 x 706697525 x 6501617115 x 1413395575 x 282679
Negative: -1 x -162540425-5 x -32508085-23 x -7066975-25 x -6501617-115 x -1413395-575 x -282679


How do I find the factor combinations of the number 162,540,425?

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 162,540,425, 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.

1 162,540,425
-1 -162,540,425

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 162,540,425.

Example:
1 x 162,540,425 = 162,540,425
and
-1 x -162,540,425 = 162,540,425
Notice both answers equal 162,540,425

With that explanation out of the way, let's continue. Next, we take the number 162,540,425 and divide it by 2:

162,540,425 ÷ 2 = 81,270,212.5

If the quotient is a whole number, then 2 and 81,270,212.5 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:

1 162,540,425
-1 -162,540,425

Now, we try dividing 162,540,425 by 3:

162,540,425 ÷ 3 = 54,180,141.6667

If the quotient is a whole number, then 3 and 54,180,141.6667 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:

1 162,540,425
-1 -162,540,425

Let's try dividing by 4:

162,540,425 ÷ 4 = 40,635,106.25

If the quotient is a whole number, then 4 and 40,635,106.25 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:

1 162,540,425
-1 162,540,425
Keep dividing by the next highest number until you cannot divide anymore.

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

152325115575282,6791,413,3956,501,6177,066,97532,508,085162,540,425
-1-5-23-25-115-575-282,679-1,413,395-6,501,617-7,066,975-32,508,085-162,540,425

More Examples

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