Q: What are the factor combinations of the number 25,205,455?

 A:
Positive:   1 x 252054555 x 504109111 x 229140555 x 458281107 x 235565535 x 471131177 x 214154283 x 5885
Negative: -1 x -25205455-5 x -5041091-11 x -2291405-55 x -458281-107 x -235565-535 x -47113-1177 x -21415-4283 x -5885


How do I find the factor combinations of the number 25,205,455?

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 25,205,455, 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 25,205,455
-1 -25,205,455

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 25,205,455.

Example:
1 x 25,205,455 = 25,205,455
and
-1 x -25,205,455 = 25,205,455
Notice both answers equal 25,205,455

With that explanation out of the way, let's continue. Next, we take the number 25,205,455 and divide it by 2:

25,205,455 ÷ 2 = 12,602,727.5

If the quotient is a whole number, then 2 and 12,602,727.5 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 25,205,455
-1 -25,205,455

Now, we try dividing 25,205,455 by 3:

25,205,455 ÷ 3 = 8,401,818.3333

If the quotient is a whole number, then 3 and 8,401,818.3333 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 25,205,455
-1 -25,205,455

Let's try dividing by 4:

25,205,455 ÷ 4 = 6,301,363.75

If the quotient is a whole number, then 4 and 6,301,363.75 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 25,205,455
-1 25,205,455
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551075351,1774,2835,88521,41547,113235,565458,2812,291,4055,041,09125,205,455
-1-5-11-55-107-535-1,177-4,283-5,885-21,415-47,113-235,565-458,281-2,291,405-5,041,091-25,205,455

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