Q: What are the factor combinations of the number 180,072?

 A:
Positive:   1 x 1800722 x 900363 x 600244 x 450186 x 300128 x 225099 x 2000812 x 1500618 x 1000424 x 750336 x 500241 x 439261 x 295272 x 250182 x 2196122 x 1476123 x 1464164 x 1098183 x 984244 x 738246 x 732328 x 549366 x 492369 x 488
Negative: -1 x -180072-2 x -90036-3 x -60024-4 x -45018-6 x -30012-8 x -22509-9 x -20008-12 x -15006-18 x -10004-24 x -7503-36 x -5002-41 x -4392-61 x -2952-72 x -2501-82 x -2196-122 x -1476-123 x -1464-164 x -1098-183 x -984-244 x -738-246 x -732-328 x -549-366 x -492-369 x -488


How do I find the factor combinations of the number 180,072?

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 180,072, 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.

1 180,072
-1 -180,072

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 180,072.

Example:
1 x 180,072 = 180,072
and
-1 x -180,072 = 180,072
Notice both answers equal 180,072

With that explanation out of the way, let's continue. Next, we take the number 180,072 and divide it by 2:

180,072 ÷ 2 = 90,036

If the quotient is a whole number, then 2 and 90,036 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 90,036 180,072
-1 -2 -90,036 -180,072

Now, we try dividing 180,072 by 3:

180,072 ÷ 3 = 60,024

If the quotient is a whole number, then 3 and 60,024 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 60,024 90,036 180,072
-1 -2 -3 -60,024 -90,036 -180,072

Let's try dividing by 4:

180,072 ÷ 4 = 45,018

If the quotient is a whole number, then 4 and 45,018 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 45,018 60,024 90,036 180,072
-1 -2 -3 -4 -45,018 -60,024 -90,036 180,072
Keep dividing by the next highest number until you cannot divide anymore.

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

123468912182436416172821221231641832442463283663694884925497327389841,0981,4641,4762,1962,5012,9524,3925,0027,50310,00415,00620,00822,50930,01245,01860,02490,036180,072
-1-2-3-4-6-8-9-12-18-24-36-41-61-72-82-122-123-164-183-244-246-328-366-369-488-492-549-732-738-984-1,098-1,464-1,476-2,196-2,501-2,952-4,392-5,002-7,503-10,004-15,006-20,008-22,509-30,012-45,018-60,024-90,036-180,072

More Examples

Here are some more numbers to try:

180,070180,071180,073180,074
Try the factor calculator

Explore more about the number 180,072:


Ask a Question