Q: What are the factor combinations of the number 437,225,663?

 A:
Positive:   1 x 4372256637 x 6246080919 x 2301187729 x 15076747133 x 3287411203 x 2153821551 x 7935133857 x 113359
Negative: -1 x -437225663-7 x -62460809-19 x -23011877-29 x -15076747-133 x -3287411-203 x -2153821-551 x -793513-3857 x -113359


How do I find the factor combinations of the number 437,225,663?

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 437,225,663, 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.

1 437,225,663
-1 -437,225,663

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 437,225,663.

Example:
1 x 437,225,663 = 437,225,663
and
-1 x -437,225,663 = 437,225,663
Notice both answers equal 437,225,663

With that explanation out of the way, let's continue. Next, we take the number 437,225,663 and divide it by 2:

437,225,663 ÷ 2 = 218,612,831.5

If the quotient is a whole number, then 2 and 218,612,831.5 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:

1 437,225,663
-1 -437,225,663

Now, we try dividing 437,225,663 by 3:

437,225,663 ÷ 3 = 145,741,887.6667

If the quotient is a whole number, then 3 and 145,741,887.6667 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:

1 437,225,663
-1 -437,225,663

Let's try dividing by 4:

437,225,663 ÷ 4 = 109,306,415.75

If the quotient is a whole number, then 4 and 109,306,415.75 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:

1 437,225,663
-1 437,225,663
Keep dividing by the next highest number until you cannot divide anymore.

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

1719291332035513,857113,359793,5132,153,8213,287,41115,076,74723,011,87762,460,809437,225,663
-1-7-19-29-133-203-551-3,857-113,359-793,513-2,153,821-3,287,411-15,076,747-23,011,877-62,460,809-437,225,663

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