Q: What are the factor combinations of the number 637,403,143?

 A:
Positive:   1 x 63740314313 x 4903101147 x 13561769611 x 1043213
Negative: -1 x -637403143-13 x -49031011-47 x -13561769-611 x -1043213


How do I find the factor combinations of the number 637,403,143?

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 637,403,143, 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.

1 637,403,143
-1 -637,403,143

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 637,403,143.

Example:
1 x 637,403,143 = 637,403,143
and
-1 x -637,403,143 = 637,403,143
Notice both answers equal 637,403,143

With that explanation out of the way, let's continue. Next, we take the number 637,403,143 and divide it by 2:

637,403,143 ÷ 2 = 318,701,571.5

If the quotient is a whole number, then 2 and 318,701,571.5 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:

1 637,403,143
-1 -637,403,143

Now, we try dividing 637,403,143 by 3:

637,403,143 ÷ 3 = 212,467,714.3333

If the quotient is a whole number, then 3 and 212,467,714.3333 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:

1 637,403,143
-1 -637,403,143

Let's try dividing by 4:

637,403,143 ÷ 4 = 159,350,785.75

If the quotient is a whole number, then 4 and 159,350,785.75 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:

1 637,403,143
-1 637,403,143
Keep dividing by the next highest number until you cannot divide anymore.

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

113476111,043,21313,561,76949,031,011637,403,143
-1-13-47-611-1,043,213-13,561,769-49,031,011-637,403,143

More Examples

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