Q: What are the factor combinations of the number 260,756,429?

 A:
Positive:   1 x 26075642929 x 899160143 x 606410367 x 38918871247 x 2091071943 x 1342032881 x 905093121 x 83549
Negative: -1 x -260756429-29 x -8991601-43 x -6064103-67 x -3891887-1247 x -209107-1943 x -134203-2881 x -90509-3121 x -83549


How do I find the factor combinations of the number 260,756,429?

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 260,756,429, 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.

1 260,756,429
-1 -260,756,429

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 260,756,429.

Example:
1 x 260,756,429 = 260,756,429
and
-1 x -260,756,429 = 260,756,429
Notice both answers equal 260,756,429

With that explanation out of the way, let's continue. Next, we take the number 260,756,429 and divide it by 2:

260,756,429 ÷ 2 = 130,378,214.5

If the quotient is a whole number, then 2 and 130,378,214.5 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:

1 260,756,429
-1 -260,756,429

Now, we try dividing 260,756,429 by 3:

260,756,429 ÷ 3 = 86,918,809.6667

If the quotient is a whole number, then 3 and 86,918,809.6667 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:

1 260,756,429
-1 -260,756,429

Let's try dividing by 4:

260,756,429 ÷ 4 = 65,189,107.25

If the quotient is a whole number, then 4 and 65,189,107.25 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:

1 260,756,429
-1 260,756,429
Keep dividing by the next highest number until you cannot divide anymore.

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

12943671,2471,9432,8813,12183,54990,509134,203209,1073,891,8876,064,1038,991,601260,756,429
-1-29-43-67-1,247-1,943-2,881-3,121-83,549-90,509-134,203-209,107-3,891,887-6,064,103-8,991,601-260,756,429

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