Q: What are the factor combinations of the number 463,211,155?

 A:
Positive:   1 x 4632111555 x 9264223111 x 4211010517 x 2724771555 x 842202185 x 5449543187 x 2477065935 x 495413
Negative: -1 x -463211155-5 x -92642231-11 x -42110105-17 x -27247715-55 x -8422021-85 x -5449543-187 x -2477065-935 x -495413


How do I find the factor combinations of the number 463,211,155?

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 463,211,155, 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.

1 463,211,155
-1 -463,211,155

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 463,211,155.

Example:
1 x 463,211,155 = 463,211,155
and
-1 x -463,211,155 = 463,211,155
Notice both answers equal 463,211,155

With that explanation out of the way, let's continue. Next, we take the number 463,211,155 and divide it by 2:

463,211,155 ÷ 2 = 231,605,577.5

If the quotient is a whole number, then 2 and 231,605,577.5 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:

1 463,211,155
-1 -463,211,155

Now, we try dividing 463,211,155 by 3:

463,211,155 ÷ 3 = 154,403,718.3333

If the quotient is a whole number, then 3 and 154,403,718.3333 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:

1 463,211,155
-1 -463,211,155

Let's try dividing by 4:

463,211,155 ÷ 4 = 115,802,788.75

If the quotient is a whole number, then 4 and 115,802,788.75 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:

1 463,211,155
-1 463,211,155
Keep dividing by the next highest number until you cannot divide anymore.

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

1511175585187935495,4132,477,0655,449,5438,422,02127,247,71542,110,10592,642,231463,211,155
-1-5-11-17-55-85-187-935-495,413-2,477,065-5,449,543-8,422,021-27,247,715-42,110,105-92,642,231-463,211,155

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