Q: What are the factor combinations of the number 440,133,991?

 A:
Positive:   1 x 44013399111 x 4001218147 x 9364553121 x 3637471193 x 2280487401 x 1097591517 x 8513232123 x 2073174411 x 997815687 x 773939071 x 4852118847 x 23353
Negative: -1 x -440133991-11 x -40012181-47 x -9364553-121 x -3637471-193 x -2280487-401 x -1097591-517 x -851323-2123 x -207317-4411 x -99781-5687 x -77393-9071 x -48521-18847 x -23353


How do I find the factor combinations of the number 440,133,991?

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 440,133,991, 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.

1 440,133,991
-1 -440,133,991

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 440,133,991.

Example:
1 x 440,133,991 = 440,133,991
and
-1 x -440,133,991 = 440,133,991
Notice both answers equal 440,133,991

With that explanation out of the way, let's continue. Next, we take the number 440,133,991 and divide it by 2:

440,133,991 ÷ 2 = 220,066,995.5

If the quotient is a whole number, then 2 and 220,066,995.5 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:

1 440,133,991
-1 -440,133,991

Now, we try dividing 440,133,991 by 3:

440,133,991 ÷ 3 = 146,711,330.3333

If the quotient is a whole number, then 3 and 146,711,330.3333 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:

1 440,133,991
-1 -440,133,991

Let's try dividing by 4:

440,133,991 ÷ 4 = 110,033,497.75

If the quotient is a whole number, then 4 and 110,033,497.75 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:

1 440,133,991
-1 440,133,991
Keep dividing by the next highest number until you cannot divide anymore.

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

111471211934015172,1234,4115,6879,07118,84723,35348,52177,39399,781207,317851,3231,097,5912,280,4873,637,4719,364,55340,012,181440,133,991
-1-11-47-121-193-401-517-2,123-4,411-5,687-9,071-18,847-23,353-48,521-77,393-99,781-207,317-851,323-1,097,591-2,280,487-3,637,471-9,364,553-40,012,181-440,133,991

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