Q: What are the factor combinations of the number 445,043,045?

 A:
Positive:   1 x 4450430455 x 89008609257 x 17316851285 x 346337
Negative: -1 x -445043045-5 x -89008609-257 x -1731685-1285 x -346337


How do I find the factor combinations of the number 445,043,045?

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 445,043,045, 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.

1 445,043,045
-1 -445,043,045

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 445,043,045.

Example:
1 x 445,043,045 = 445,043,045
and
-1 x -445,043,045 = 445,043,045
Notice both answers equal 445,043,045

With that explanation out of the way, let's continue. Next, we take the number 445,043,045 and divide it by 2:

445,043,045 ÷ 2 = 222,521,522.5

If the quotient is a whole number, then 2 and 222,521,522.5 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:

1 445,043,045
-1 -445,043,045

Now, we try dividing 445,043,045 by 3:

445,043,045 ÷ 3 = 148,347,681.6667

If the quotient is a whole number, then 3 and 148,347,681.6667 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:

1 445,043,045
-1 -445,043,045

Let's try dividing by 4:

445,043,045 ÷ 4 = 111,260,761.25

If the quotient is a whole number, then 4 and 111,260,761.25 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:

1 445,043,045
-1 445,043,045
Keep dividing by the next highest number until you cannot divide anymore.

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

152571,285346,3371,731,68589,008,609445,043,045
-1-5-257-1,285-346,337-1,731,685-89,008,609-445,043,045

More Examples

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