Q: What are the factor combinations of the number 726,047,845?

 A:
Positive:   1 x 7260478455 x 14520956967 x 10836535335 x 2167307653 x 11118653265 x 2223733319 x 21875516595 x 43751
Negative: -1 x -726047845-5 x -145209569-67 x -10836535-335 x -2167307-653 x -1111865-3265 x -222373-3319 x -218755-16595 x -43751


How do I find the factor combinations of the number 726,047,845?

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 726,047,845, 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.

1 726,047,845
-1 -726,047,845

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 726,047,845.

Example:
1 x 726,047,845 = 726,047,845
and
-1 x -726,047,845 = 726,047,845
Notice both answers equal 726,047,845

With that explanation out of the way, let's continue. Next, we take the number 726,047,845 and divide it by 2:

726,047,845 ÷ 2 = 363,023,922.5

If the quotient is a whole number, then 2 and 363,023,922.5 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:

1 726,047,845
-1 -726,047,845

Now, we try dividing 726,047,845 by 3:

726,047,845 ÷ 3 = 242,015,948.3333

If the quotient is a whole number, then 3 and 242,015,948.3333 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:

1 726,047,845
-1 -726,047,845

Let's try dividing by 4:

726,047,845 ÷ 4 = 181,511,961.25

If the quotient is a whole number, then 4 and 181,511,961.25 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:

1 726,047,845
-1 726,047,845
Keep dividing by the next highest number until you cannot divide anymore.

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

15673356533,2653,31916,59543,751218,755222,3731,111,8652,167,30710,836,535145,209,569726,047,845
-1-5-67-335-653-3,265-3,319-16,595-43,751-218,755-222,373-1,111,865-2,167,307-10,836,535-145,209,569-726,047,845

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