Q: What are the factor combinations of the number 440,501,243?

 A:
Positive:   1 x 4405012437 x 6292874913 x 3388471137 x 1190543991 x 4840673259 x 1700777481 x 9158033367 x 130829
Negative: -1 x -440501243-7 x -62928749-13 x -33884711-37 x -11905439-91 x -4840673-259 x -1700777-481 x -915803-3367 x -130829


How do I find the factor combinations of the number 440,501,243?

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 440,501,243, 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.

1 440,501,243
-1 -440,501,243

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 440,501,243.

Example:
1 x 440,501,243 = 440,501,243
and
-1 x -440,501,243 = 440,501,243
Notice both answers equal 440,501,243

With that explanation out of the way, let's continue. Next, we take the number 440,501,243 and divide it by 2:

440,501,243 ÷ 2 = 220,250,621.5

If the quotient is a whole number, then 2 and 220,250,621.5 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:

1 440,501,243
-1 -440,501,243

Now, we try dividing 440,501,243 by 3:

440,501,243 ÷ 3 = 146,833,747.6667

If the quotient is a whole number, then 3 and 146,833,747.6667 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:

1 440,501,243
-1 -440,501,243

Let's try dividing by 4:

440,501,243 ÷ 4 = 110,125,310.75

If the quotient is a whole number, then 4 and 110,125,310.75 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:

1 440,501,243
-1 440,501,243
Keep dividing by the next highest number until you cannot divide anymore.

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

171337912594813,367130,829915,8031,700,7774,840,67311,905,43933,884,71162,928,749440,501,243
-1-7-13-37-91-259-481-3,367-130,829-915,803-1,700,777-4,840,673-11,905,439-33,884,711-62,928,749-440,501,243

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