Q: What are the factor combinations of the number 231,211,453?

 A:
Positive:   1 x 23121145311 x 21019223229 x 1009657263 x 879131349 x 6624972519 x 917872893 x 799213839 x 60227
Negative: -1 x -231211453-11 x -21019223-229 x -1009657-263 x -879131-349 x -662497-2519 x -91787-2893 x -79921-3839 x -60227


How do I find the factor combinations of the number 231,211,453?

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 231,211,453, 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.

1 231,211,453
-1 -231,211,453

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 231,211,453.

Example:
1 x 231,211,453 = 231,211,453
and
-1 x -231,211,453 = 231,211,453
Notice both answers equal 231,211,453

With that explanation out of the way, let's continue. Next, we take the number 231,211,453 and divide it by 2:

231,211,453 ÷ 2 = 115,605,726.5

If the quotient is a whole number, then 2 and 115,605,726.5 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:

1 231,211,453
-1 -231,211,453

Now, we try dividing 231,211,453 by 3:

231,211,453 ÷ 3 = 77,070,484.3333

If the quotient is a whole number, then 3 and 77,070,484.3333 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:

1 231,211,453
-1 -231,211,453

Let's try dividing by 4:

231,211,453 ÷ 4 = 57,802,863.25

If the quotient is a whole number, then 4 and 57,802,863.25 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:

1 231,211,453
-1 231,211,453
Keep dividing by the next highest number until you cannot divide anymore.

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

1112292633492,5192,8933,83960,22779,92191,787662,497879,1311,009,65721,019,223231,211,453
-1-11-229-263-349-2,519-2,893-3,839-60,227-79,921-91,787-662,497-879,131-1,009,657-21,019,223-231,211,453

More Examples

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