Q: What are the factor combinations of the number 440,014,009?

 A:
Positive:   1 x 44001400917 x 2588317741 x 10732049157 x 2802637697 x 6312972669 x 1648614021 x 1094296437 x 68357
Negative: -1 x -440014009-17 x -25883177-41 x -10732049-157 x -2802637-697 x -631297-2669 x -164861-4021 x -109429-6437 x -68357


How do I find the factor combinations of the number 440,014,009?

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 440,014,009, 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.

1 440,014,009
-1 -440,014,009

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 440,014,009.

Example:
1 x 440,014,009 = 440,014,009
and
-1 x -440,014,009 = 440,014,009
Notice both answers equal 440,014,009

With that explanation out of the way, let's continue. Next, we take the number 440,014,009 and divide it by 2:

440,014,009 ÷ 2 = 220,007,004.5

If the quotient is a whole number, then 2 and 220,007,004.5 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:

1 440,014,009
-1 -440,014,009

Now, we try dividing 440,014,009 by 3:

440,014,009 ÷ 3 = 146,671,336.3333

If the quotient is a whole number, then 3 and 146,671,336.3333 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:

1 440,014,009
-1 -440,014,009

Let's try dividing by 4:

440,014,009 ÷ 4 = 110,003,502.25

If the quotient is a whole number, then 4 and 110,003,502.25 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:

1 440,014,009
-1 440,014,009
Keep dividing by the next highest number until you cannot divide anymore.

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

117411576972,6694,0216,43768,357109,429164,861631,2972,802,63710,732,04925,883,177440,014,009
-1-17-41-157-697-2,669-4,021-6,437-68,357-109,429-164,861-631,297-2,802,637-10,732,049-25,883,177-440,014,009

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