Q: What are the factor combinations of the number 25,121,155?

 A:
Positive:   1 x 251211555 x 502423117 x 147771585 x 295543479 x 52445617 x 407152395 x 104893085 x 8143
Negative: -1 x -25121155-5 x -5024231-17 x -1477715-85 x -295543-479 x -52445-617 x -40715-2395 x -10489-3085 x -8143


How do I find the factor combinations of the number 25,121,155?

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 25,121,155, 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 25,121,155
-1 -25,121,155

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 25,121,155.

Example:
1 x 25,121,155 = 25,121,155
and
-1 x -25,121,155 = 25,121,155
Notice both answers equal 25,121,155

With that explanation out of the way, let's continue. Next, we take the number 25,121,155 and divide it by 2:

25,121,155 ÷ 2 = 12,560,577.5

If the quotient is a whole number, then 2 and 12,560,577.5 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 25,121,155
-1 -25,121,155

Now, we try dividing 25,121,155 by 3:

25,121,155 ÷ 3 = 8,373,718.3333

If the quotient is a whole number, then 3 and 8,373,718.3333 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 25,121,155
-1 -25,121,155

Let's try dividing by 4:

25,121,155 ÷ 4 = 6,280,288.75

If the quotient is a whole number, then 4 and 6,280,288.75 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 25,121,155
-1 25,121,155
Keep dividing by the next highest number until you cannot divide anymore.

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

1517854796172,3953,0858,14310,48940,71552,445295,5431,477,7155,024,23125,121,155
-1-5-17-85-479-617-2,395-3,085-8,143-10,489-40,715-52,445-295,543-1,477,715-5,024,231-25,121,155

More Examples

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