Q: What are the factor combinations of the number 25,730,747?

 A:
Positive:   1 x 257307477 x 367582167 x 38404183 x 310009469 x 54863581 x 44287661 x 389274627 x 5561
Negative: -1 x -25730747-7 x -3675821-67 x -384041-83 x -310009-469 x -54863-581 x -44287-661 x -38927-4627 x -5561


How do I find the factor combinations of the number 25,730,747?

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 25,730,747, 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 25,730,747
-1 -25,730,747

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 25,730,747.

Example:
1 x 25,730,747 = 25,730,747
and
-1 x -25,730,747 = 25,730,747
Notice both answers equal 25,730,747

With that explanation out of the way, let's continue. Next, we take the number 25,730,747 and divide it by 2:

25,730,747 ÷ 2 = 12,865,373.5

If the quotient is a whole number, then 2 and 12,865,373.5 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 25,730,747
-1 -25,730,747

Now, we try dividing 25,730,747 by 3:

25,730,747 ÷ 3 = 8,576,915.6667

If the quotient is a whole number, then 3 and 8,576,915.6667 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 25,730,747
-1 -25,730,747

Let's try dividing by 4:

25,730,747 ÷ 4 = 6,432,686.75

If the quotient is a whole number, then 4 and 6,432,686.75 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 25,730,747
-1 25,730,747
Keep dividing by the next highest number until you cannot divide anymore.

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

1767834695816614,6275,56138,92744,28754,863310,009384,0413,675,82125,730,747
-1-7-67-83-469-581-661-4,627-5,561-38,927-44,287-54,863-310,009-384,041-3,675,821-25,730,747

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 25,730,747:


Ask a Question