Q: What are the factor combinations of the number 25,555,123?

 A:
Positive:   1 x 2555512311 x 232319337 x 690679407 x 627891369 x 186671697 x 15059
Negative: -1 x -25555123-11 x -2323193-37 x -690679-407 x -62789-1369 x -18667-1697 x -15059


How do I find the factor combinations of the number 25,555,123?

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 25,555,123, 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 25,555,123
-1 -25,555,123

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 25,555,123.

Example:
1 x 25,555,123 = 25,555,123
and
-1 x -25,555,123 = 25,555,123
Notice both answers equal 25,555,123

With that explanation out of the way, let's continue. Next, we take the number 25,555,123 and divide it by 2:

25,555,123 ÷ 2 = 12,777,561.5

If the quotient is a whole number, then 2 and 12,777,561.5 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 25,555,123
-1 -25,555,123

Now, we try dividing 25,555,123 by 3:

25,555,123 ÷ 3 = 8,518,374.3333

If the quotient is a whole number, then 3 and 8,518,374.3333 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 25,555,123
-1 -25,555,123

Let's try dividing by 4:

25,555,123 ÷ 4 = 6,388,780.75

If the quotient is a whole number, then 4 and 6,388,780.75 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 25,555,123
-1 25,555,123
Keep dividing by the next highest number until you cannot divide anymore.

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

111374071,3691,69715,05918,66762,789690,6792,323,19325,555,123
-1-11-37-407-1,369-1,697-15,059-18,667-62,789-690,679-2,323,193-25,555,123

More Examples

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