Q: What are the factor combinations of the number 23,408,825?

 A:
Positive:   1 x 234088255 x 468176511 x 212807523 x 101777525 x 93635355 x 425615115 x 203555253 x 92525275 x 85123575 x 407111265 x 185053701 x 6325
Negative: -1 x -23408825-5 x -4681765-11 x -2128075-23 x -1017775-25 x -936353-55 x -425615-115 x -203555-253 x -92525-275 x -85123-575 x -40711-1265 x -18505-3701 x -6325


How do I find the factor combinations of the number 23,408,825?

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 23,408,825, 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 23,408,825
-1 -23,408,825

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 23,408,825.

Example:
1 x 23,408,825 = 23,408,825
and
-1 x -23,408,825 = 23,408,825
Notice both answers equal 23,408,825

With that explanation out of the way, let's continue. Next, we take the number 23,408,825 and divide it by 2:

23,408,825 ÷ 2 = 11,704,412.5

If the quotient is a whole number, then 2 and 11,704,412.5 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 23,408,825
-1 -23,408,825

Now, we try dividing 23,408,825 by 3:

23,408,825 ÷ 3 = 7,802,941.6667

If the quotient is a whole number, then 3 and 7,802,941.6667 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 23,408,825
-1 -23,408,825

Let's try dividing by 4:

23,408,825 ÷ 4 = 5,852,206.25

If the quotient is a whole number, then 4 and 5,852,206.25 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 23,408,825
-1 23,408,825
Keep dividing by the next highest number until you cannot divide anymore.

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

15112325551152532755751,2653,7016,32518,50540,71185,12392,525203,555425,615936,3531,017,7752,128,0754,681,76523,408,825
-1-5-11-23-25-55-115-253-275-575-1,265-3,701-6,325-18,505-40,711-85,123-92,525-203,555-425,615-936,353-1,017,775-2,128,075-4,681,765-23,408,825

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