Q: What are the factor combinations of the number 25,146,139?

 A:
Positive:   1 x 2514613919 x 1323481293 x 858234517 x 5567
Negative: -1 x -25146139-19 x -1323481-293 x -85823-4517 x -5567


How do I find the factor combinations of the number 25,146,139?

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 25,146,139, 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 25,146,139
-1 -25,146,139

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 25,146,139.

Example:
1 x 25,146,139 = 25,146,139
and
-1 x -25,146,139 = 25,146,139
Notice both answers equal 25,146,139

With that explanation out of the way, let's continue. Next, we take the number 25,146,139 and divide it by 2:

25,146,139 ÷ 2 = 12,573,069.5

If the quotient is a whole number, then 2 and 12,573,069.5 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 25,146,139
-1 -25,146,139

Now, we try dividing 25,146,139 by 3:

25,146,139 ÷ 3 = 8,382,046.3333

If the quotient is a whole number, then 3 and 8,382,046.3333 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 25,146,139
-1 -25,146,139

Let's try dividing by 4:

25,146,139 ÷ 4 = 6,286,534.75

If the quotient is a whole number, then 4 and 6,286,534.75 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 25,146,139
-1 25,146,139
Keep dividing by the next highest number until you cannot divide anymore.

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

1192934,5175,56785,8231,323,48125,146,139
-1-19-293-4,517-5,567-85,823-1,323,481-25,146,139

More Examples

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