Q: What are the factor combinations of the number 2,522,525?

 A:
Positive:   1 x 25225255 x 50450523 x 10967525 x 10090141 x 61525107 x 23575115 x 21935205 x 12305535 x 4715575 x 4387943 x 26751025 x 2461
Negative: -1 x -2522525-5 x -504505-23 x -109675-25 x -100901-41 x -61525-107 x -23575-115 x -21935-205 x -12305-535 x -4715-575 x -4387-943 x -2675-1025 x -2461


How do I find the factor combinations of the number 2,522,525?

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 2,522,525, 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 2,522,525
-1 -2,522,525

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 2,522,525.

Example:
1 x 2,522,525 = 2,522,525
and
-1 x -2,522,525 = 2,522,525
Notice both answers equal 2,522,525

With that explanation out of the way, let's continue. Next, we take the number 2,522,525 and divide it by 2:

2,522,525 ÷ 2 = 1,261,262.5

If the quotient is a whole number, then 2 and 1,261,262.5 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 2,522,525
-1 -2,522,525

Now, we try dividing 2,522,525 by 3:

2,522,525 ÷ 3 = 840,841.6667

If the quotient is a whole number, then 3 and 840,841.6667 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 2,522,525
-1 -2,522,525

Let's try dividing by 4:

2,522,525 ÷ 4 = 630,631.25

If the quotient is a whole number, then 4 and 630,631.25 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 2,522,525
-1 2,522,525
Keep dividing by the next highest number until you cannot divide anymore.

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

152325411071152055355759431,0252,4612,6754,3874,71512,30521,93523,57561,525100,901109,675504,5052,522,525
-1-5-23-25-41-107-115-205-535-575-943-1,025-2,461-2,675-4,387-4,715-12,305-21,935-23,575-61,525-100,901-109,675-504,505-2,522,525

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 2,522,525:


Ask a Question