Q: What are the factor combinations of the number 25,006,795?

 A:
Positive:   1 x 250067955 x 500135911 x 227334555 x 454669139 x 179905695 x 359811529 x 163553271 x 7645
Negative: -1 x -25006795-5 x -5001359-11 x -2273345-55 x -454669-139 x -179905-695 x -35981-1529 x -16355-3271 x -7645


How do I find the factor combinations of the number 25,006,795?

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 25,006,795, 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 25,006,795
-1 -25,006,795

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 25,006,795.

Example:
1 x 25,006,795 = 25,006,795
and
-1 x -25,006,795 = 25,006,795
Notice both answers equal 25,006,795

With that explanation out of the way, let's continue. Next, we take the number 25,006,795 and divide it by 2:

25,006,795 ÷ 2 = 12,503,397.5

If the quotient is a whole number, then 2 and 12,503,397.5 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 25,006,795
-1 -25,006,795

Now, we try dividing 25,006,795 by 3:

25,006,795 ÷ 3 = 8,335,598.3333

If the quotient is a whole number, then 3 and 8,335,598.3333 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 25,006,795
-1 -25,006,795

Let's try dividing by 4:

25,006,795 ÷ 4 = 6,251,698.75

If the quotient is a whole number, then 4 and 6,251,698.75 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 25,006,795
-1 25,006,795
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551396951,5293,2717,64516,35535,981179,905454,6692,273,3455,001,35925,006,795
-1-5-11-55-139-695-1,529-3,271-7,645-16,355-35,981-179,905-454,669-2,273,345-5,001,359-25,006,795

More Examples

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