Q: What are the factor combinations of the number 32,467,025?

 A:
Positive:   1 x 324670255 x 649340517 x 190982525 x 129868179 x 41097585 x 381965395 x 82195425 x 76393967 x 335751343 x 241751975 x 164394835 x 6715
Negative: -1 x -32467025-5 x -6493405-17 x -1909825-25 x -1298681-79 x -410975-85 x -381965-395 x -82195-425 x -76393-967 x -33575-1343 x -24175-1975 x -16439-4835 x -6715


How do I find the factor combinations of the number 32,467,025?

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 32,467,025, 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 32,467,025
-1 -32,467,025

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 32,467,025.

Example:
1 x 32,467,025 = 32,467,025
and
-1 x -32,467,025 = 32,467,025
Notice both answers equal 32,467,025

With that explanation out of the way, let's continue. Next, we take the number 32,467,025 and divide it by 2:

32,467,025 ÷ 2 = 16,233,512.5

If the quotient is a whole number, then 2 and 16,233,512.5 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 32,467,025
-1 -32,467,025

Now, we try dividing 32,467,025 by 3:

32,467,025 ÷ 3 = 10,822,341.6667

If the quotient is a whole number, then 3 and 10,822,341.6667 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 32,467,025
-1 -32,467,025

Let's try dividing by 4:

32,467,025 ÷ 4 = 8,116,756.25

If the quotient is a whole number, then 4 and 8,116,756.25 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 32,467,025
-1 32,467,025
Keep dividing by the next highest number until you cannot divide anymore.

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

15172579853954259671,3431,9754,8356,71516,43924,17533,57576,39382,195381,965410,9751,298,6811,909,8256,493,40532,467,025
-1-5-17-25-79-85-395-425-967-1,343-1,975-4,835-6,715-16,439-24,175-33,575-76,393-82,195-381,965-410,975-1,298,681-1,909,825-6,493,405-32,467,025

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 32,467,025:


Ask a Question