Q: What are the factor combinations of the number 403,041,443?

 A:
Positive:   1 x 4030414437 x 5757734923 x 1752354183 x 4855921161 x 2503363581 x 6937031909 x 21112713363 x 30161
Negative: -1 x -403041443-7 x -57577349-23 x -17523541-83 x -4855921-161 x -2503363-581 x -693703-1909 x -211127-13363 x -30161


How do I find the factor combinations of the number 403,041,443?

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 403,041,443, 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.

1 403,041,443
-1 -403,041,443

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 403,041,443.

Example:
1 x 403,041,443 = 403,041,443
and
-1 x -403,041,443 = 403,041,443
Notice both answers equal 403,041,443

With that explanation out of the way, let's continue. Next, we take the number 403,041,443 and divide it by 2:

403,041,443 ÷ 2 = 201,520,721.5

If the quotient is a whole number, then 2 and 201,520,721.5 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:

1 403,041,443
-1 -403,041,443

Now, we try dividing 403,041,443 by 3:

403,041,443 ÷ 3 = 134,347,147.6667

If the quotient is a whole number, then 3 and 134,347,147.6667 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:

1 403,041,443
-1 -403,041,443

Let's try dividing by 4:

403,041,443 ÷ 4 = 100,760,360.75

If the quotient is a whole number, then 4 and 100,760,360.75 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:

1 403,041,443
-1 403,041,443
Keep dividing by the next highest number until you cannot divide anymore.

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

1723831615811,90913,36330,161211,127693,7032,503,3634,855,92117,523,54157,577,349403,041,443
-1-7-23-83-161-581-1,909-13,363-30,161-211,127-693,703-2,503,363-4,855,921-17,523,541-57,577,349-403,041,443

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