Q: What are the factor combinations of the number 25,004,399?

 A:
Positive:   1 x 250043997 x 357205717 x 147084719 x 1316021119 x 210121133 x 188003323 x 774132261 x 11059
Negative: -1 x -25004399-7 x -3572057-17 x -1470847-19 x -1316021-119 x -210121-133 x -188003-323 x -77413-2261 x -11059


How do I find the factor combinations of the number 25,004,399?

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 25,004,399, 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 25,004,399
-1 -25,004,399

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 25,004,399.

Example:
1 x 25,004,399 = 25,004,399
and
-1 x -25,004,399 = 25,004,399
Notice both answers equal 25,004,399

With that explanation out of the way, let's continue. Next, we take the number 25,004,399 and divide it by 2:

25,004,399 ÷ 2 = 12,502,199.5

If the quotient is a whole number, then 2 and 12,502,199.5 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 25,004,399
-1 -25,004,399

Now, we try dividing 25,004,399 by 3:

25,004,399 ÷ 3 = 8,334,799.6667

If the quotient is a whole number, then 3 and 8,334,799.6667 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 25,004,399
-1 -25,004,399

Let's try dividing by 4:

25,004,399 ÷ 4 = 6,251,099.75

If the quotient is a whole number, then 4 and 6,251,099.75 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 25,004,399
-1 25,004,399
Keep dividing by the next highest number until you cannot divide anymore.

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

1717191191333232,26111,05977,413188,003210,1211,316,0211,470,8473,572,05725,004,399
-1-7-17-19-119-133-323-2,261-11,059-77,413-188,003-210,121-1,316,021-1,470,847-3,572,057-25,004,399

More Examples

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