Q: What are the factor combinations of the number 25,002,445?

 A:
Positive:   1 x 250024455 x 500048913 x 192326565 x 384653211 x 1184951055 x 236991823 x 137152743 x 9115
Negative: -1 x -25002445-5 x -5000489-13 x -1923265-65 x -384653-211 x -118495-1055 x -23699-1823 x -13715-2743 x -9115


How do I find the factor combinations of the number 25,002,445?

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 25,002,445, 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 25,002,445
-1 -25,002,445

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 25,002,445.

Example:
1 x 25,002,445 = 25,002,445
and
-1 x -25,002,445 = 25,002,445
Notice both answers equal 25,002,445

With that explanation out of the way, let's continue. Next, we take the number 25,002,445 and divide it by 2:

25,002,445 ÷ 2 = 12,501,222.5

If the quotient is a whole number, then 2 and 12,501,222.5 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 25,002,445
-1 -25,002,445

Now, we try dividing 25,002,445 by 3:

25,002,445 ÷ 3 = 8,334,148.3333

If the quotient is a whole number, then 3 and 8,334,148.3333 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 25,002,445
-1 -25,002,445

Let's try dividing by 4:

25,002,445 ÷ 4 = 6,250,611.25

If the quotient is a whole number, then 4 and 6,250,611.25 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 25,002,445
-1 25,002,445
Keep dividing by the next highest number until you cannot divide anymore.

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

1513652111,0551,8232,7439,11513,71523,699118,495384,6531,923,2655,000,48925,002,445
-1-5-13-65-211-1,055-1,823-2,743-9,115-13,715-23,699-118,495-384,653-1,923,265-5,000,489-25,002,445

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