Q: What are the factor combinations of the number 440,402,399?

 A:
Positive:   1 x 44040239931 x 1420652983 x 53060532573 x 171163
Negative: -1 x -440402399-31 x -14206529-83 x -5306053-2573 x -171163


How do I find the factor combinations of the number 440,402,399?

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 440,402,399, 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.

1 440,402,399
-1 -440,402,399

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 440,402,399.

Example:
1 x 440,402,399 = 440,402,399
and
-1 x -440,402,399 = 440,402,399
Notice both answers equal 440,402,399

With that explanation out of the way, let's continue. Next, we take the number 440,402,399 and divide it by 2:

440,402,399 ÷ 2 = 220,201,199.5

If the quotient is a whole number, then 2 and 220,201,199.5 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:

1 440,402,399
-1 -440,402,399

Now, we try dividing 440,402,399 by 3:

440,402,399 ÷ 3 = 146,800,799.6667

If the quotient is a whole number, then 3 and 146,800,799.6667 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:

1 440,402,399
-1 -440,402,399

Let's try dividing by 4:

440,402,399 ÷ 4 = 110,100,599.75

If the quotient is a whole number, then 4 and 110,100,599.75 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:

1 440,402,399
-1 440,402,399
Keep dividing by the next highest number until you cannot divide anymore.

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

131832,573171,1635,306,05314,206,529440,402,399
-1-31-83-2,573-171,163-5,306,053-14,206,529-440,402,399

More Examples

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