Q: What are the factor combinations of the number 162,351,625?

 A:
Positive:   1 x 1623516255 x 3247032525 x 6494065125 x 1298813367 x 4423751835 x 884753539 x 458759175 x 17695
Negative: -1 x -162351625-5 x -32470325-25 x -6494065-125 x -1298813-367 x -442375-1835 x -88475-3539 x -45875-9175 x -17695


How do I find the factor combinations of the number 162,351,625?

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 162,351,625, 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.

1 162,351,625
-1 -162,351,625

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 162,351,625.

Example:
1 x 162,351,625 = 162,351,625
and
-1 x -162,351,625 = 162,351,625
Notice both answers equal 162,351,625

With that explanation out of the way, let's continue. Next, we take the number 162,351,625 and divide it by 2:

162,351,625 ÷ 2 = 81,175,812.5

If the quotient is a whole number, then 2 and 81,175,812.5 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:

1 162,351,625
-1 -162,351,625

Now, we try dividing 162,351,625 by 3:

162,351,625 ÷ 3 = 54,117,208.3333

If the quotient is a whole number, then 3 and 54,117,208.3333 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:

1 162,351,625
-1 -162,351,625

Let's try dividing by 4:

162,351,625 ÷ 4 = 40,587,906.25

If the quotient is a whole number, then 4 and 40,587,906.25 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:

1 162,351,625
-1 162,351,625
Keep dividing by the next highest number until you cannot divide anymore.

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

15251253671,8353,5399,17517,69545,87588,475442,3751,298,8136,494,06532,470,325162,351,625
-1-5-25-125-367-1,835-3,539-9,175-17,695-45,875-88,475-442,375-1,298,813-6,494,065-32,470,325-162,351,625

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 162,351,625:


Ask a Question