Q: What are the factor combinations of the number 443,420,011?

 A:
Positive:   1 x 443420011197 x 2250863769 x 5766192927 x 151493
Negative: -1 x -443420011-197 x -2250863-769 x -576619-2927 x -151493


How do I find the factor combinations of the number 443,420,011?

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 443,420,011, 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.

1 443,420,011
-1 -443,420,011

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 443,420,011.

Example:
1 x 443,420,011 = 443,420,011
and
-1 x -443,420,011 = 443,420,011
Notice both answers equal 443,420,011

With that explanation out of the way, let's continue. Next, we take the number 443,420,011 and divide it by 2:

443,420,011 ÷ 2 = 221,710,005.5

If the quotient is a whole number, then 2 and 221,710,005.5 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:

1 443,420,011
-1 -443,420,011

Now, we try dividing 443,420,011 by 3:

443,420,011 ÷ 3 = 147,806,670.3333

If the quotient is a whole number, then 3 and 147,806,670.3333 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:

1 443,420,011
-1 -443,420,011

Let's try dividing by 4:

443,420,011 ÷ 4 = 110,855,002.75

If the quotient is a whole number, then 4 and 110,855,002.75 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:

1 443,420,011
-1 443,420,011
Keep dividing by the next highest number until you cannot divide anymore.

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

11977692,927151,493576,6192,250,863443,420,011
-1-197-769-2,927-151,493-576,619-2,250,863-443,420,011

More Examples

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