Q: What are the factor combinations of the number 25,422,131?

 A:
Positive:   1 x 254221317 x 363173349 x 518819137 x 185563343 x 74117541 x 46991959 x 265093787 x 6713
Negative: -1 x -25422131-7 x -3631733-49 x -518819-137 x -185563-343 x -74117-541 x -46991-959 x -26509-3787 x -6713


How do I find the factor combinations of the number 25,422,131?

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 25,422,131, 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 25,422,131
-1 -25,422,131

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 25,422,131.

Example:
1 x 25,422,131 = 25,422,131
and
-1 x -25,422,131 = 25,422,131
Notice both answers equal 25,422,131

With that explanation out of the way, let's continue. Next, we take the number 25,422,131 and divide it by 2:

25,422,131 ÷ 2 = 12,711,065.5

If the quotient is a whole number, then 2 and 12,711,065.5 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 25,422,131
-1 -25,422,131

Now, we try dividing 25,422,131 by 3:

25,422,131 ÷ 3 = 8,474,043.6667

If the quotient is a whole number, then 3 and 8,474,043.6667 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 25,422,131
-1 -25,422,131

Let's try dividing by 4:

25,422,131 ÷ 4 = 6,355,532.75

If the quotient is a whole number, then 4 and 6,355,532.75 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 25,422,131
-1 25,422,131
Keep dividing by the next highest number until you cannot divide anymore.

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

17491373435419593,7876,71326,50946,99174,117185,563518,8193,631,73325,422,131
-1-7-49-137-343-541-959-3,787-6,713-26,509-46,991-74,117-185,563-518,819-3,631,733-25,422,131

More Examples

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