Q: What are the factor combinations of the number 443,013,241?

 A:
Positive:   1 x 44301324111 x 4027393141 x 1080520159 x 7508699451 x 982291649 x 6826092419 x 18313916649 x 26609
Negative: -1 x -443013241-11 x -40273931-41 x -10805201-59 x -7508699-451 x -982291-649 x -682609-2419 x -183139-16649 x -26609


How do I find the factor combinations of the number 443,013,241?

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 443,013,241, 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.

1 443,013,241
-1 -443,013,241

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 443,013,241.

Example:
1 x 443,013,241 = 443,013,241
and
-1 x -443,013,241 = 443,013,241
Notice both answers equal 443,013,241

With that explanation out of the way, let's continue. Next, we take the number 443,013,241 and divide it by 2:

443,013,241 ÷ 2 = 221,506,620.5

If the quotient is a whole number, then 2 and 221,506,620.5 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:

1 443,013,241
-1 -443,013,241

Now, we try dividing 443,013,241 by 3:

443,013,241 ÷ 3 = 147,671,080.3333

If the quotient is a whole number, then 3 and 147,671,080.3333 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:

1 443,013,241
-1 -443,013,241

Let's try dividing by 4:

443,013,241 ÷ 4 = 110,753,310.25

If the quotient is a whole number, then 4 and 110,753,310.25 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:

1 443,013,241
-1 443,013,241
Keep dividing by the next highest number until you cannot divide anymore.

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

11141594516492,41916,64926,609183,139682,609982,2917,508,69910,805,20140,273,931443,013,241
-1-11-41-59-451-649-2,419-16,649-26,609-183,139-682,609-982,291-7,508,699-10,805,201-40,273,931-443,013,241

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