Q: What are the factor combinations of the number 25,000,523?

 A:
Positive:   1 x 2500052317 x 147061919 x 131581729 x 862087157 x 159239289 x 86507323 x 77401493 x 50711551 x 453732669 x 93672983 x 83814553 x 5491
Negative: -1 x -25000523-17 x -1470619-19 x -1315817-29 x -862087-157 x -159239-289 x -86507-323 x -77401-493 x -50711-551 x -45373-2669 x -9367-2983 x -8381-4553 x -5491


How do I find the factor combinations of the number 25,000,523?

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 25,000,523, 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 25,000,523
-1 -25,000,523

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 25,000,523.

Example:
1 x 25,000,523 = 25,000,523
and
-1 x -25,000,523 = 25,000,523
Notice both answers equal 25,000,523

With that explanation out of the way, let's continue. Next, we take the number 25,000,523 and divide it by 2:

25,000,523 ÷ 2 = 12,500,261.5

If the quotient is a whole number, then 2 and 12,500,261.5 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 25,000,523
-1 -25,000,523

Now, we try dividing 25,000,523 by 3:

25,000,523 ÷ 3 = 8,333,507.6667

If the quotient is a whole number, then 3 and 8,333,507.6667 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 25,000,523
-1 -25,000,523

Let's try dividing by 4:

25,000,523 ÷ 4 = 6,250,130.75

If the quotient is a whole number, then 4 and 6,250,130.75 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 25,000,523
-1 25,000,523
Keep dividing by the next highest number until you cannot divide anymore.

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

11719291572893234935512,6692,9834,5535,4918,3819,36745,37350,71177,40186,507159,239862,0871,315,8171,470,61925,000,523
-1-17-19-29-157-289-323-493-551-2,669-2,983-4,553-5,491-8,381-9,367-45,373-50,711-77,401-86,507-159,239-862,087-1,315,817-1,470,619-25,000,523

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