Q: What are the factor combinations of the number 440,456,645?

 A:
Positive:   1 x 4404566455 x 8809132941 x 10742845205 x 2148569293 x 15032651465 x 3006537333 x 6006512013 x 36665
Negative: -1 x -440456645-5 x -88091329-41 x -10742845-205 x -2148569-293 x -1503265-1465 x -300653-7333 x -60065-12013 x -36665


How do I find the factor combinations of the number 440,456,645?

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 440,456,645, 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.

1 440,456,645
-1 -440,456,645

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 440,456,645.

Example:
1 x 440,456,645 = 440,456,645
and
-1 x -440,456,645 = 440,456,645
Notice both answers equal 440,456,645

With that explanation out of the way, let's continue. Next, we take the number 440,456,645 and divide it by 2:

440,456,645 ÷ 2 = 220,228,322.5

If the quotient is a whole number, then 2 and 220,228,322.5 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:

1 440,456,645
-1 -440,456,645

Now, we try dividing 440,456,645 by 3:

440,456,645 ÷ 3 = 146,818,881.6667

If the quotient is a whole number, then 3 and 146,818,881.6667 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:

1 440,456,645
-1 -440,456,645

Let's try dividing by 4:

440,456,645 ÷ 4 = 110,114,161.25

If the quotient is a whole number, then 4 and 110,114,161.25 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:

1 440,456,645
-1 440,456,645
Keep dividing by the next highest number until you cannot divide anymore.

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

15412052931,4657,33312,01336,66560,065300,6531,503,2652,148,56910,742,84588,091,329440,456,645
-1-5-41-205-293-1,465-7,333-12,013-36,665-60,065-300,653-1,503,265-2,148,569-10,742,845-88,091,329-440,456,645

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