Q: What are the factor combinations of the number 25,433,401?

 A:
Positive:   1 x 254334017 x 363334349 x 51904961 x 41694167 x 379603127 x 200263427 x 59563469 x 54229889 x 286092989 x 85093283 x 77474087 x 6223
Negative: -1 x -25433401-7 x -3633343-49 x -519049-61 x -416941-67 x -379603-127 x -200263-427 x -59563-469 x -54229-889 x -28609-2989 x -8509-3283 x -7747-4087 x -6223


How do I find the factor combinations of the number 25,433,401?

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 25,433,401, 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 25,433,401
-1 -25,433,401

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 25,433,401.

Example:
1 x 25,433,401 = 25,433,401
and
-1 x -25,433,401 = 25,433,401
Notice both answers equal 25,433,401

With that explanation out of the way, let's continue. Next, we take the number 25,433,401 and divide it by 2:

25,433,401 ÷ 2 = 12,716,700.5

If the quotient is a whole number, then 2 and 12,716,700.5 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 25,433,401
-1 -25,433,401

Now, we try dividing 25,433,401 by 3:

25,433,401 ÷ 3 = 8,477,800.3333

If the quotient is a whole number, then 3 and 8,477,800.3333 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 25,433,401
-1 -25,433,401

Let's try dividing by 4:

25,433,401 ÷ 4 = 6,358,350.25

If the quotient is a whole number, then 4 and 6,358,350.25 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 25,433,401
-1 25,433,401
Keep dividing by the next highest number until you cannot divide anymore.

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

174961671274274698892,9893,2834,0876,2237,7478,50928,60954,22959,563200,263379,603416,941519,0493,633,34325,433,401
-1-7-49-61-67-127-427-469-889-2,989-3,283-4,087-6,223-7,747-8,509-28,609-54,229-59,563-200,263-379,603-416,941-519,049-3,633,343-25,433,401

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