Q: What are the factor combinations of the number 265,554,125?

 A:
Positive:   1 x 2655541255 x 5311082525 x 10622165125 x 2124433229 x 11596251145 x 2319255725 x 463859277 x 28625
Negative: -1 x -265554125-5 x -53110825-25 x -10622165-125 x -2124433-229 x -1159625-1145 x -231925-5725 x -46385-9277 x -28625


How do I find the factor combinations of the number 265,554,125?

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 265,554,125, 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.

1 265,554,125
-1 -265,554,125

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 265,554,125.

Example:
1 x 265,554,125 = 265,554,125
and
-1 x -265,554,125 = 265,554,125
Notice both answers equal 265,554,125

With that explanation out of the way, let's continue. Next, we take the number 265,554,125 and divide it by 2:

265,554,125 ÷ 2 = 132,777,062.5

If the quotient is a whole number, then 2 and 132,777,062.5 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:

1 265,554,125
-1 -265,554,125

Now, we try dividing 265,554,125 by 3:

265,554,125 ÷ 3 = 88,518,041.6667

If the quotient is a whole number, then 3 and 88,518,041.6667 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:

1 265,554,125
-1 -265,554,125

Let's try dividing by 4:

265,554,125 ÷ 4 = 66,388,531.25

If the quotient is a whole number, then 4 and 66,388,531.25 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:

1 265,554,125
-1 265,554,125
Keep dividing by the next highest number until you cannot divide anymore.

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

15251252291,1455,7259,27728,62546,385231,9251,159,6252,124,43310,622,16553,110,825265,554,125
-1-5-25-125-229-1,145-5,725-9,277-28,625-46,385-231,925-1,159,625-2,124,433-10,622,165-53,110,825-265,554,125

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