Q: What are the factor combinations of the number 25,337,155?

 A:
Positive:   1 x 253371555 x 506743129 x 873695145 x 174739197 x 128615887 x 28565985 x 257234435 x 5713
Negative: -1 x -25337155-5 x -5067431-29 x -873695-145 x -174739-197 x -128615-887 x -28565-985 x -25723-4435 x -5713


How do I find the factor combinations of the number 25,337,155?

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 25,337,155, 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 25,337,155
-1 -25,337,155

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 25,337,155.

Example:
1 x 25,337,155 = 25,337,155
and
-1 x -25,337,155 = 25,337,155
Notice both answers equal 25,337,155

With that explanation out of the way, let's continue. Next, we take the number 25,337,155 and divide it by 2:

25,337,155 ÷ 2 = 12,668,577.5

If the quotient is a whole number, then 2 and 12,668,577.5 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 25,337,155
-1 -25,337,155

Now, we try dividing 25,337,155 by 3:

25,337,155 ÷ 3 = 8,445,718.3333

If the quotient is a whole number, then 3 and 8,445,718.3333 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 25,337,155
-1 -25,337,155

Let's try dividing by 4:

25,337,155 ÷ 4 = 6,334,288.75

If the quotient is a whole number, then 4 and 6,334,288.75 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 25,337,155
-1 25,337,155
Keep dividing by the next highest number until you cannot divide anymore.

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

15291451978879854,4355,71325,72328,565128,615174,739873,6955,067,43125,337,155
-1-5-29-145-197-887-985-4,435-5,713-25,723-28,565-128,615-174,739-873,695-5,067,431-25,337,155

More Examples

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