Q: What are the factor combinations of the number 25,542,745?

 A:
Positive:   1 x 255427455 x 510854919 x 134435567 x 38123595 x 268871335 x 762471273 x 200654013 x 6365
Negative: -1 x -25542745-5 x -5108549-19 x -1344355-67 x -381235-95 x -268871-335 x -76247-1273 x -20065-4013 x -6365


How do I find the factor combinations of the number 25,542,745?

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 25,542,745, 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 25,542,745
-1 -25,542,745

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 25,542,745.

Example:
1 x 25,542,745 = 25,542,745
and
-1 x -25,542,745 = 25,542,745
Notice both answers equal 25,542,745

With that explanation out of the way, let's continue. Next, we take the number 25,542,745 and divide it by 2:

25,542,745 ÷ 2 = 12,771,372.5

If the quotient is a whole number, then 2 and 12,771,372.5 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 25,542,745
-1 -25,542,745

Now, we try dividing 25,542,745 by 3:

25,542,745 ÷ 3 = 8,514,248.3333

If the quotient is a whole number, then 3 and 8,514,248.3333 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 25,542,745
-1 -25,542,745

Let's try dividing by 4:

25,542,745 ÷ 4 = 6,385,686.25

If the quotient is a whole number, then 4 and 6,385,686.25 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 25,542,745
-1 25,542,745
Keep dividing by the next highest number until you cannot divide anymore.

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

151967953351,2734,0136,36520,06576,247268,871381,2351,344,3555,108,54925,542,745
-1-5-19-67-95-335-1,273-4,013-6,365-20,065-76,247-268,871-381,235-1,344,355-5,108,549-25,542,745

More Examples

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