Q: What are the factor combinations of the number 440,135,423?

 A:
Positive:   1 x 4401354237 x 6287648913 x 3385657117 x 2589031991 x 4836653119 x 3698617221 x 19915631547 x 284509
Negative: -1 x -440135423-7 x -62876489-13 x -33856571-17 x -25890319-91 x -4836653-119 x -3698617-221 x -1991563-1547 x -284509


How do I find the factor combinations of the number 440,135,423?

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 440,135,423, 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.

1 440,135,423
-1 -440,135,423

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 440,135,423.

Example:
1 x 440,135,423 = 440,135,423
and
-1 x -440,135,423 = 440,135,423
Notice both answers equal 440,135,423

With that explanation out of the way, let's continue. Next, we take the number 440,135,423 and divide it by 2:

440,135,423 ÷ 2 = 220,067,711.5

If the quotient is a whole number, then 2 and 220,067,711.5 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:

1 440,135,423
-1 -440,135,423

Now, we try dividing 440,135,423 by 3:

440,135,423 ÷ 3 = 146,711,807.6667

If the quotient is a whole number, then 3 and 146,711,807.6667 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:

1 440,135,423
-1 -440,135,423

Let's try dividing by 4:

440,135,423 ÷ 4 = 110,033,855.75

If the quotient is a whole number, then 4 and 110,033,855.75 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:

1 440,135,423
-1 440,135,423
Keep dividing by the next highest number until you cannot divide anymore.

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

171317911192211,547284,5091,991,5633,698,6174,836,65325,890,31933,856,57162,876,489440,135,423
-1-7-13-17-91-119-221-1,547-284,509-1,991,563-3,698,617-4,836,653-25,890,319-33,856,571-62,876,489-440,135,423

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