Q: What are the factor combinations of the number 441,030,023?

 A:
Positive:   1 x 4410300237 x 63004289109 x 4046147763 x 578021
Negative: -1 x -441030023-7 x -63004289-109 x -4046147-763 x -578021


How do I find the factor combinations of the number 441,030,023?

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 441,030,023, 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.

1 441,030,023
-1 -441,030,023

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 441,030,023.

Example:
1 x 441,030,023 = 441,030,023
and
-1 x -441,030,023 = 441,030,023
Notice both answers equal 441,030,023

With that explanation out of the way, let's continue. Next, we take the number 441,030,023 and divide it by 2:

441,030,023 ÷ 2 = 220,515,011.5

If the quotient is a whole number, then 2 and 220,515,011.5 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:

1 441,030,023
-1 -441,030,023

Now, we try dividing 441,030,023 by 3:

441,030,023 ÷ 3 = 147,010,007.6667

If the quotient is a whole number, then 3 and 147,010,007.6667 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:

1 441,030,023
-1 -441,030,023

Let's try dividing by 4:

441,030,023 ÷ 4 = 110,257,505.75

If the quotient is a whole number, then 4 and 110,257,505.75 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:

1 441,030,023
-1 441,030,023
Keep dividing by the next highest number until you cannot divide anymore.

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

17109763578,0214,046,14763,004,289441,030,023
-1-7-109-763-578,021-4,046,147-63,004,289-441,030,023

More Examples

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