Q: What are the factor combinations of the number 463,458,085?

 A:
Positive:   1 x 4634580855 x 9269161743 x 10778095215 x 2155619673 x 6886453203 x 1446953365 x 13772916015 x 28939
Negative: -1 x -463458085-5 x -92691617-43 x -10778095-215 x -2155619-673 x -688645-3203 x -144695-3365 x -137729-16015 x -28939


How do I find the factor combinations of the number 463,458,085?

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 463,458,085, 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.

1 463,458,085
-1 -463,458,085

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 463,458,085.

Example:
1 x 463,458,085 = 463,458,085
and
-1 x -463,458,085 = 463,458,085
Notice both answers equal 463,458,085

With that explanation out of the way, let's continue. Next, we take the number 463,458,085 and divide it by 2:

463,458,085 ÷ 2 = 231,729,042.5

If the quotient is a whole number, then 2 and 231,729,042.5 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:

1 463,458,085
-1 -463,458,085

Now, we try dividing 463,458,085 by 3:

463,458,085 ÷ 3 = 154,486,028.3333

If the quotient is a whole number, then 3 and 154,486,028.3333 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:

1 463,458,085
-1 -463,458,085

Let's try dividing by 4:

463,458,085 ÷ 4 = 115,864,521.25

If the quotient is a whole number, then 4 and 115,864,521.25 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:

1 463,458,085
-1 463,458,085
Keep dividing by the next highest number until you cannot divide anymore.

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

15432156733,2033,36516,01528,939137,729144,695688,6452,155,61910,778,09592,691,617463,458,085
-1-5-43-215-673-3,203-3,365-16,015-28,939-137,729-144,695-688,645-2,155,619-10,778,095-92,691,617-463,458,085

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