Q: What are the factor combinations of the number 265,425,065?

 A:
Positive:   1 x 2654250655 x 530850131061 x 2501655305 x 50033
Negative: -1 x -265425065-5 x -53085013-1061 x -250165-5305 x -50033


How do I find the factor combinations of the number 265,425,065?

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 265,425,065, 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.

1 265,425,065
-1 -265,425,065

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 265,425,065.

Example:
1 x 265,425,065 = 265,425,065
and
-1 x -265,425,065 = 265,425,065
Notice both answers equal 265,425,065

With that explanation out of the way, let's continue. Next, we take the number 265,425,065 and divide it by 2:

265,425,065 ÷ 2 = 132,712,532.5

If the quotient is a whole number, then 2 and 132,712,532.5 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:

1 265,425,065
-1 -265,425,065

Now, we try dividing 265,425,065 by 3:

265,425,065 ÷ 3 = 88,475,021.6667

If the quotient is a whole number, then 3 and 88,475,021.6667 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:

1 265,425,065
-1 -265,425,065

Let's try dividing by 4:

265,425,065 ÷ 4 = 66,356,266.25

If the quotient is a whole number, then 4 and 66,356,266.25 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:

1 265,425,065
-1 265,425,065
Keep dividing by the next highest number until you cannot divide anymore.

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

151,0615,30550,033250,16553,085,013265,425,065
-1-5-1,061-5,305-50,033-250,165-53,085,013-265,425,065

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