Q: What are the factor combinations of the number 437,716,435?

 A:
Positive:   1 x 4377164355 x 8754328713 x 3367049531 x 1411988565 x 6734099155 x 2823977403 x 10861452015 x 217229
Negative: -1 x -437716435-5 x -87543287-13 x -33670495-31 x -14119885-65 x -6734099-155 x -2823977-403 x -1086145-2015 x -217229


How do I find the factor combinations of the number 437,716,435?

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 437,716,435, 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.

1 437,716,435
-1 -437,716,435

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 437,716,435.

Example:
1 x 437,716,435 = 437,716,435
and
-1 x -437,716,435 = 437,716,435
Notice both answers equal 437,716,435

With that explanation out of the way, let's continue. Next, we take the number 437,716,435 and divide it by 2:

437,716,435 ÷ 2 = 218,858,217.5

If the quotient is a whole number, then 2 and 218,858,217.5 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:

1 437,716,435
-1 -437,716,435

Now, we try dividing 437,716,435 by 3:

437,716,435 ÷ 3 = 145,905,478.3333

If the quotient is a whole number, then 3 and 145,905,478.3333 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:

1 437,716,435
-1 -437,716,435

Let's try dividing by 4:

437,716,435 ÷ 4 = 109,429,108.75

If the quotient is a whole number, then 4 and 109,429,108.75 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:

1 437,716,435
-1 437,716,435
Keep dividing by the next highest number until you cannot divide anymore.

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

151331651554032,015217,2291,086,1452,823,9776,734,09914,119,88533,670,49587,543,287437,716,435
-1-5-13-31-65-155-403-2,015-217,229-1,086,145-2,823,977-6,734,099-14,119,885-33,670,495-87,543,287-437,716,435

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