Q: What are the factor combinations of the number 340,650,775?

 A:
Positive:   1 x 3406507755 x 6813015525 x 13626031139 x 2450725167 x 2039825587 x 580325695 x 490145835 x 4079652935 x 1160653475 x 980294175 x 8159314675 x 23213
Negative: -1 x -340650775-5 x -68130155-25 x -13626031-139 x -2450725-167 x -2039825-587 x -580325-695 x -490145-835 x -407965-2935 x -116065-3475 x -98029-4175 x -81593-14675 x -23213


How do I find the factor combinations of the number 340,650,775?

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 340,650,775, 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.

1 340,650,775
-1 -340,650,775

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 340,650,775.

Example:
1 x 340,650,775 = 340,650,775
and
-1 x -340,650,775 = 340,650,775
Notice both answers equal 340,650,775

With that explanation out of the way, let's continue. Next, we take the number 340,650,775 and divide it by 2:

340,650,775 ÷ 2 = 170,325,387.5

If the quotient is a whole number, then 2 and 170,325,387.5 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:

1 340,650,775
-1 -340,650,775

Now, we try dividing 340,650,775 by 3:

340,650,775 ÷ 3 = 113,550,258.3333

If the quotient is a whole number, then 3 and 113,550,258.3333 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:

1 340,650,775
-1 -340,650,775

Let's try dividing by 4:

340,650,775 ÷ 4 = 85,162,693.75

If the quotient is a whole number, then 4 and 85,162,693.75 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:

1 340,650,775
-1 340,650,775
Keep dividing by the next highest number until you cannot divide anymore.

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

15251391675876958352,9353,4754,17514,67523,21381,59398,029116,065407,965490,145580,3252,039,8252,450,72513,626,03168,130,155340,650,775
-1-5-25-139-167-587-695-835-2,935-3,475-4,175-14,675-23,213-81,593-98,029-116,065-407,965-490,145-580,325-2,039,825-2,450,725-13,626,031-68,130,155-340,650,775

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