Q: What are the factor combinations of the number 376,223,659?

 A:
Positive:   1 x 3762236597 x 5374623737 x 10168207149 x 2524991259 x 14526011043 x 3607135513 x 682439749 x 38591
Negative: -1 x -376223659-7 x -53746237-37 x -10168207-149 x -2524991-259 x -1452601-1043 x -360713-5513 x -68243-9749 x -38591


How do I find the factor combinations of the number 376,223,659?

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 376,223,659, 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.

1 376,223,659
-1 -376,223,659

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 376,223,659.

Example:
1 x 376,223,659 = 376,223,659
and
-1 x -376,223,659 = 376,223,659
Notice both answers equal 376,223,659

With that explanation out of the way, let's continue. Next, we take the number 376,223,659 and divide it by 2:

376,223,659 ÷ 2 = 188,111,829.5

If the quotient is a whole number, then 2 and 188,111,829.5 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:

1 376,223,659
-1 -376,223,659

Now, we try dividing 376,223,659 by 3:

376,223,659 ÷ 3 = 125,407,886.3333

If the quotient is a whole number, then 3 and 125,407,886.3333 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:

1 376,223,659
-1 -376,223,659

Let's try dividing by 4:

376,223,659 ÷ 4 = 94,055,914.75

If the quotient is a whole number, then 4 and 94,055,914.75 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:

1 376,223,659
-1 376,223,659
Keep dividing by the next highest number until you cannot divide anymore.

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

17371492591,0435,5139,74938,59168,243360,7131,452,6012,524,99110,168,20753,746,237376,223,659
-1-7-37-149-259-1,043-5,513-9,749-38,591-68,243-360,713-1,452,601-2,524,991-10,168,207-53,746,237-376,223,659

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