Q: What are the factor combinations of the number 25,143,745?

 A:
Positive:   1 x 251437455 x 502874911 x 228579519 x 132335555 x 45715995 x 264671209 x 1203051045 x 24061
Negative: -1 x -25143745-5 x -5028749-11 x -2285795-19 x -1323355-55 x -457159-95 x -264671-209 x -120305-1045 x -24061


How do I find the factor combinations of the number 25,143,745?

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 25,143,745, 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 25,143,745
-1 -25,143,745

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 25,143,745.

Example:
1 x 25,143,745 = 25,143,745
and
-1 x -25,143,745 = 25,143,745
Notice both answers equal 25,143,745

With that explanation out of the way, let's continue. Next, we take the number 25,143,745 and divide it by 2:

25,143,745 ÷ 2 = 12,571,872.5

If the quotient is a whole number, then 2 and 12,571,872.5 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 25,143,745
-1 -25,143,745

Now, we try dividing 25,143,745 by 3:

25,143,745 ÷ 3 = 8,381,248.3333

If the quotient is a whole number, then 3 and 8,381,248.3333 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 25,143,745
-1 -25,143,745

Let's try dividing by 4:

25,143,745 ÷ 4 = 6,285,936.25

If the quotient is a whole number, then 4 and 6,285,936.25 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 25,143,745
-1 25,143,745
Keep dividing by the next highest number until you cannot divide anymore.

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

15111955952091,04524,061120,305264,671457,1591,323,3552,285,7955,028,74925,143,745
-1-5-11-19-55-95-209-1,045-24,061-120,305-264,671-457,159-1,323,355-2,285,795-5,028,749-25,143,745

More Examples

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