Q: What are the factor combinations of the number 25,365,137?

 A:
Positive:   1 x 253651377 x 3623591131 x 193627139 x 182483199 x 127463917 x 27661973 x 260691393 x 18209
Negative: -1 x -25365137-7 x -3623591-131 x -193627-139 x -182483-199 x -127463-917 x -27661-973 x -26069-1393 x -18209


How do I find the factor combinations of the number 25,365,137?

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 25,365,137, 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 25,365,137
-1 -25,365,137

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 25,365,137.

Example:
1 x 25,365,137 = 25,365,137
and
-1 x -25,365,137 = 25,365,137
Notice both answers equal 25,365,137

With that explanation out of the way, let's continue. Next, we take the number 25,365,137 and divide it by 2:

25,365,137 ÷ 2 = 12,682,568.5

If the quotient is a whole number, then 2 and 12,682,568.5 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 25,365,137
-1 -25,365,137

Now, we try dividing 25,365,137 by 3:

25,365,137 ÷ 3 = 8,455,045.6667

If the quotient is a whole number, then 3 and 8,455,045.6667 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 25,365,137
-1 -25,365,137

Let's try dividing by 4:

25,365,137 ÷ 4 = 6,341,284.25

If the quotient is a whole number, then 4 and 6,341,284.25 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 25,365,137
-1 25,365,137
Keep dividing by the next highest number until you cannot divide anymore.

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

171311391999179731,39318,20926,06927,661127,463182,483193,6273,623,59125,365,137
-1-7-131-139-199-917-973-1,393-18,209-26,069-27,661-127,463-182,483-193,627-3,623,591-25,365,137

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