Q: What are the factor combinations of the number 24,670,525?

 A:
Positive:   1 x 246705255 x 493410511 x 224277525 x 98682155 x 448555275 x 89711283 x 87175317 x 778251415 x 174351585 x 155653113 x 79253487 x 7075
Negative: -1 x -24670525-5 x -4934105-11 x -2242775-25 x -986821-55 x -448555-275 x -89711-283 x -87175-317 x -77825-1415 x -17435-1585 x -15565-3113 x -7925-3487 x -7075


How do I find the factor combinations of the number 24,670,525?

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 24,670,525, 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 24,670,525
-1 -24,670,525

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 24,670,525.

Example:
1 x 24,670,525 = 24,670,525
and
-1 x -24,670,525 = 24,670,525
Notice both answers equal 24,670,525

With that explanation out of the way, let's continue. Next, we take the number 24,670,525 and divide it by 2:

24,670,525 ÷ 2 = 12,335,262.5

If the quotient is a whole number, then 2 and 12,335,262.5 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 24,670,525
-1 -24,670,525

Now, we try dividing 24,670,525 by 3:

24,670,525 ÷ 3 = 8,223,508.3333

If the quotient is a whole number, then 3 and 8,223,508.3333 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 24,670,525
-1 -24,670,525

Let's try dividing by 4:

24,670,525 ÷ 4 = 6,167,631.25

If the quotient is a whole number, then 4 and 6,167,631.25 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 24,670,525
-1 24,670,525
Keep dividing by the next highest number until you cannot divide anymore.

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

151125552752833171,4151,5853,1133,4877,0757,92515,56517,43577,82587,17589,711448,555986,8212,242,7754,934,10524,670,525
-1-5-11-25-55-275-283-317-1,415-1,585-3,113-3,487-7,075-7,925-15,565-17,435-77,825-87,175-89,711-448,555-986,821-2,242,775-4,934,105-24,670,525

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