Q: What are the factor combinations of the number 345,504,367?

 A:
Positive:   1 x 34550436713 x 2657725923 x 1502192979 x 4373473299 x 11555331027 x 3364211817 x 19015114627 x 23621
Negative: -1 x -345504367-13 x -26577259-23 x -15021929-79 x -4373473-299 x -1155533-1027 x -336421-1817 x -190151-14627 x -23621


How do I find the factor combinations of the number 345,504,367?

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 345,504,367, 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.

1 345,504,367
-1 -345,504,367

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 345,504,367.

Example:
1 x 345,504,367 = 345,504,367
and
-1 x -345,504,367 = 345,504,367
Notice both answers equal 345,504,367

With that explanation out of the way, let's continue. Next, we take the number 345,504,367 and divide it by 2:

345,504,367 ÷ 2 = 172,752,183.5

If the quotient is a whole number, then 2 and 172,752,183.5 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:

1 345,504,367
-1 -345,504,367

Now, we try dividing 345,504,367 by 3:

345,504,367 ÷ 3 = 115,168,122.3333

If the quotient is a whole number, then 3 and 115,168,122.3333 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:

1 345,504,367
-1 -345,504,367

Let's try dividing by 4:

345,504,367 ÷ 4 = 86,376,091.75

If the quotient is a whole number, then 4 and 86,376,091.75 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:

1 345,504,367
-1 345,504,367
Keep dividing by the next highest number until you cannot divide anymore.

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

11323792991,0271,81714,62723,621190,151336,4211,155,5334,373,47315,021,92926,577,259345,504,367
-1-13-23-79-299-1,027-1,817-14,627-23,621-190,151-336,421-1,155,533-4,373,473-15,021,929-26,577,259-345,504,367

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