Q: What are the factor combinations of the number 25,156,655?

 A:
Positive:   1 x 251566555 x 503133131 x 811505109 x 230795155 x 162301545 x 461591489 x 168953379 x 7445
Negative: -1 x -25156655-5 x -5031331-31 x -811505-109 x -230795-155 x -162301-545 x -46159-1489 x -16895-3379 x -7445


How do I find the factor combinations of the number 25,156,655?

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 25,156,655, 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 25,156,655
-1 -25,156,655

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 25,156,655.

Example:
1 x 25,156,655 = 25,156,655
and
-1 x -25,156,655 = 25,156,655
Notice both answers equal 25,156,655

With that explanation out of the way, let's continue. Next, we take the number 25,156,655 and divide it by 2:

25,156,655 ÷ 2 = 12,578,327.5

If the quotient is a whole number, then 2 and 12,578,327.5 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 25,156,655
-1 -25,156,655

Now, we try dividing 25,156,655 by 3:

25,156,655 ÷ 3 = 8,385,551.6667

If the quotient is a whole number, then 3 and 8,385,551.6667 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 25,156,655
-1 -25,156,655

Let's try dividing by 4:

25,156,655 ÷ 4 = 6,289,163.75

If the quotient is a whole number, then 4 and 6,289,163.75 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 25,156,655
-1 25,156,655
Keep dividing by the next highest number until you cannot divide anymore.

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

15311091555451,4893,3797,44516,89546,159162,301230,795811,5055,031,33125,156,655
-1-5-31-109-155-545-1,489-3,379-7,445-16,895-46,159-162,301-230,795-811,505-5,031,331-25,156,655

More Examples

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