Q: What are the factor combinations of the number 254,048,125?

 A:
Positive:   1 x 2540481255 x 5080962525 x 10161925125 x 2032385311 x 816875625 x 4064771307 x 1943751555 x 1633756535 x 388757775 x 32675
Negative: -1 x -254048125-5 x -50809625-25 x -10161925-125 x -2032385-311 x -816875-625 x -406477-1307 x -194375-1555 x -163375-6535 x -38875-7775 x -32675


How do I find the factor combinations of the number 254,048,125?

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 254,048,125, 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.

1 254,048,125
-1 -254,048,125

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 254,048,125.

Example:
1 x 254,048,125 = 254,048,125
and
-1 x -254,048,125 = 254,048,125
Notice both answers equal 254,048,125

With that explanation out of the way, let's continue. Next, we take the number 254,048,125 and divide it by 2:

254,048,125 ÷ 2 = 127,024,062.5

If the quotient is a whole number, then 2 and 127,024,062.5 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:

1 254,048,125
-1 -254,048,125

Now, we try dividing 254,048,125 by 3:

254,048,125 ÷ 3 = 84,682,708.3333

If the quotient is a whole number, then 3 and 84,682,708.3333 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:

1 254,048,125
-1 -254,048,125

Let's try dividing by 4:

254,048,125 ÷ 4 = 63,512,031.25

If the quotient is a whole number, then 4 and 63,512,031.25 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:

1 254,048,125
-1 254,048,125
Keep dividing by the next highest number until you cannot divide anymore.

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

15251253116251,3071,5556,5357,77532,67538,875163,375194,375406,477816,8752,032,38510,161,92550,809,625254,048,125
-1-5-25-125-311-625-1,307-1,555-6,535-7,775-32,675-38,875-163,375-194,375-406,477-816,875-2,032,385-10,161,925-50,809,625-254,048,125

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