Q: What are the factor combinations of the number 24,522,025?

 A:
Positive:   1 x 245220255 x 490440511 x 222927523 x 106617525 x 98088155 x 445855115 x 213235253 x 96925275 x 89171575 x 426471265 x 193853877 x 6325
Negative: -1 x -24522025-5 x -4904405-11 x -2229275-23 x -1066175-25 x -980881-55 x -445855-115 x -213235-253 x -96925-275 x -89171-575 x -42647-1265 x -19385-3877 x -6325


How do I find the factor combinations of the number 24,522,025?

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 24,522,025, 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 24,522,025
-1 -24,522,025

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 24,522,025.

Example:
1 x 24,522,025 = 24,522,025
and
-1 x -24,522,025 = 24,522,025
Notice both answers equal 24,522,025

With that explanation out of the way, let's continue. Next, we take the number 24,522,025 and divide it by 2:

24,522,025 ÷ 2 = 12,261,012.5

If the quotient is a whole number, then 2 and 12,261,012.5 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 24,522,025
-1 -24,522,025

Now, we try dividing 24,522,025 by 3:

24,522,025 ÷ 3 = 8,174,008.3333

If the quotient is a whole number, then 3 and 8,174,008.3333 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 24,522,025
-1 -24,522,025

Let's try dividing by 4:

24,522,025 ÷ 4 = 6,130,506.25

If the quotient is a whole number, then 4 and 6,130,506.25 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 24,522,025
-1 24,522,025
Keep dividing by the next highest number until you cannot divide anymore.

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

15112325551152532755751,2653,8776,32519,38542,64789,17196,925213,235445,855980,8811,066,1752,229,2754,904,40524,522,025
-1-5-11-23-25-55-115-253-275-575-1,265-3,877-6,325-19,385-42,647-89,171-96,925-213,235-445,855-980,881-1,066,175-2,229,275-4,904,405-24,522,025

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