Q: What are the factor combinations of the number 25,024,415?

 A:
Positive:   1 x 250244155 x 500488313 x 192495565 x 384991113 x 221455565 x 442911469 x 170353407 x 7345
Negative: -1 x -25024415-5 x -5004883-13 x -1924955-65 x -384991-113 x -221455-565 x -44291-1469 x -17035-3407 x -7345


How do I find the factor combinations of the number 25,024,415?

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 25,024,415, 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 25,024,415
-1 -25,024,415

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 25,024,415.

Example:
1 x 25,024,415 = 25,024,415
and
-1 x -25,024,415 = 25,024,415
Notice both answers equal 25,024,415

With that explanation out of the way, let's continue. Next, we take the number 25,024,415 and divide it by 2:

25,024,415 ÷ 2 = 12,512,207.5

If the quotient is a whole number, then 2 and 12,512,207.5 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 25,024,415
-1 -25,024,415

Now, we try dividing 25,024,415 by 3:

25,024,415 ÷ 3 = 8,341,471.6667

If the quotient is a whole number, then 3 and 8,341,471.6667 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 25,024,415
-1 -25,024,415

Let's try dividing by 4:

25,024,415 ÷ 4 = 6,256,103.75

If the quotient is a whole number, then 4 and 6,256,103.75 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 25,024,415
-1 25,024,415
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651135651,4693,4077,34517,03544,291221,455384,9911,924,9555,004,88325,024,415
-1-5-13-65-113-565-1,469-3,407-7,345-17,035-44,291-221,455-384,991-1,924,955-5,004,883-25,024,415

More Examples

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