Q: What are the factor combinations of the number 296,887,465?

 A:
Positive:   1 x 2968874655 x 593774937 x 4241249531 x 957701535 x 8482499155 x 1915403217 x 13681451085 x 273629
Negative: -1 x -296887465-5 x -59377493-7 x -42412495-31 x -9577015-35 x -8482499-155 x -1915403-217 x -1368145-1085 x -273629


How do I find the factor combinations of the number 296,887,465?

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 296,887,465, 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.

1 296,887,465
-1 -296,887,465

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 296,887,465.

Example:
1 x 296,887,465 = 296,887,465
and
-1 x -296,887,465 = 296,887,465
Notice both answers equal 296,887,465

With that explanation out of the way, let's continue. Next, we take the number 296,887,465 and divide it by 2:

296,887,465 ÷ 2 = 148,443,732.5

If the quotient is a whole number, then 2 and 148,443,732.5 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:

1 296,887,465
-1 -296,887,465

Now, we try dividing 296,887,465 by 3:

296,887,465 ÷ 3 = 98,962,488.3333

If the quotient is a whole number, then 3 and 98,962,488.3333 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:

1 296,887,465
-1 -296,887,465

Let's try dividing by 4:

296,887,465 ÷ 4 = 74,221,866.25

If the quotient is a whole number, then 4 and 74,221,866.25 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:

1 296,887,465
-1 296,887,465
Keep dividing by the next highest number until you cannot divide anymore.

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

15731351552171,085273,6291,368,1451,915,4038,482,4999,577,01542,412,49559,377,493296,887,465
-1-5-7-31-35-155-217-1,085-273,629-1,368,145-1,915,403-8,482,499-9,577,015-42,412,495-59,377,493-296,887,465

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