Q: What are the factor combinations of the number 24,265,775?

 A:
Positive:   1 x 242657755 x 485315525 x 970631311 x 780251555 x 156053121 x 7775
Negative: -1 x -24265775-5 x -4853155-25 x -970631-311 x -78025-1555 x -15605-3121 x -7775


How do I find the factor combinations of the number 24,265,775?

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 24,265,775, 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 24,265,775
-1 -24,265,775

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 24,265,775.

Example:
1 x 24,265,775 = 24,265,775
and
-1 x -24,265,775 = 24,265,775
Notice both answers equal 24,265,775

With that explanation out of the way, let's continue. Next, we take the number 24,265,775 and divide it by 2:

24,265,775 ÷ 2 = 12,132,887.5

If the quotient is a whole number, then 2 and 12,132,887.5 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 24,265,775
-1 -24,265,775

Now, we try dividing 24,265,775 by 3:

24,265,775 ÷ 3 = 8,088,591.6667

If the quotient is a whole number, then 3 and 8,088,591.6667 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 24,265,775
-1 -24,265,775

Let's try dividing by 4:

24,265,775 ÷ 4 = 6,066,443.75

If the quotient is a whole number, then 4 and 6,066,443.75 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 24,265,775
-1 24,265,775
Keep dividing by the next highest number until you cannot divide anymore.

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

15253111,5553,1217,77515,60578,025970,6314,853,15524,265,775
-1-5-25-311-1,555-3,121-7,775-15,605-78,025-970,631-4,853,155-24,265,775

More Examples

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