Q: What are the factor combinations of the number 463,345,339?

 A:
Positive:   1 x 46334533937 x 1252284743 x 10775473181 x 25599191591 x 2912291609 x 2879716697 x 691877783 x 59533
Negative: -1 x -463345339-37 x -12522847-43 x -10775473-181 x -2559919-1591 x -291229-1609 x -287971-6697 x -69187-7783 x -59533


How do I find the factor combinations of the number 463,345,339?

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 463,345,339, 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.

1 463,345,339
-1 -463,345,339

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 463,345,339.

Example:
1 x 463,345,339 = 463,345,339
and
-1 x -463,345,339 = 463,345,339
Notice both answers equal 463,345,339

With that explanation out of the way, let's continue. Next, we take the number 463,345,339 and divide it by 2:

463,345,339 ÷ 2 = 231,672,669.5

If the quotient is a whole number, then 2 and 231,672,669.5 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:

1 463,345,339
-1 -463,345,339

Now, we try dividing 463,345,339 by 3:

463,345,339 ÷ 3 = 154,448,446.3333

If the quotient is a whole number, then 3 and 154,448,446.3333 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:

1 463,345,339
-1 -463,345,339

Let's try dividing by 4:

463,345,339 ÷ 4 = 115,836,334.75

If the quotient is a whole number, then 4 and 115,836,334.75 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:

1 463,345,339
-1 463,345,339
Keep dividing by the next highest number until you cannot divide anymore.

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

137431811,5911,6096,6977,78359,53369,187287,971291,2292,559,91910,775,47312,522,847463,345,339
-1-37-43-181-1,591-1,609-6,697-7,783-59,533-69,187-287,971-291,229-2,559,919-10,775,473-12,522,847-463,345,339

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