Q: What are the factor combinations of the number 422,612,267?

 A:
Positive:   1 x 4226122677 x 6037318111 x 3841929777 x 54884711447 x 2920613793 x 11141910129 x 4172315917 x 26551
Negative: -1 x -422612267-7 x -60373181-11 x -38419297-77 x -5488471-1447 x -292061-3793 x -111419-10129 x -41723-15917 x -26551


How do I find the factor combinations of the number 422,612,267?

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 422,612,267, 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.

1 422,612,267
-1 -422,612,267

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 422,612,267.

Example:
1 x 422,612,267 = 422,612,267
and
-1 x -422,612,267 = 422,612,267
Notice both answers equal 422,612,267

With that explanation out of the way, let's continue. Next, we take the number 422,612,267 and divide it by 2:

422,612,267 ÷ 2 = 211,306,133.5

If the quotient is a whole number, then 2 and 211,306,133.5 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:

1 422,612,267
-1 -422,612,267

Now, we try dividing 422,612,267 by 3:

422,612,267 ÷ 3 = 140,870,755.6667

If the quotient is a whole number, then 3 and 140,870,755.6667 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:

1 422,612,267
-1 -422,612,267

Let's try dividing by 4:

422,612,267 ÷ 4 = 105,653,066.75

If the quotient is a whole number, then 4 and 105,653,066.75 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:

1 422,612,267
-1 422,612,267
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771,4473,79310,12915,91726,55141,723111,419292,0615,488,47138,419,29760,373,181422,612,267
-1-7-11-77-1,447-3,793-10,129-15,917-26,551-41,723-111,419-292,061-5,488,471-38,419,297-60,373,181-422,612,267

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