Q: What are the factor combinations of the number 444,401,431?

 A:
Positive:   1 x 44440143119 x 2338954943 x 10334917103 x 4314577817 x 5439431957 x 2270834429 x 1003395281 x 84151
Negative: -1 x -444401431-19 x -23389549-43 x -10334917-103 x -4314577-817 x -543943-1957 x -227083-4429 x -100339-5281 x -84151


How do I find the factor combinations of the number 444,401,431?

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 444,401,431, 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.

1 444,401,431
-1 -444,401,431

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 444,401,431.

Example:
1 x 444,401,431 = 444,401,431
and
-1 x -444,401,431 = 444,401,431
Notice both answers equal 444,401,431

With that explanation out of the way, let's continue. Next, we take the number 444,401,431 and divide it by 2:

444,401,431 ÷ 2 = 222,200,715.5

If the quotient is a whole number, then 2 and 222,200,715.5 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:

1 444,401,431
-1 -444,401,431

Now, we try dividing 444,401,431 by 3:

444,401,431 ÷ 3 = 148,133,810.3333

If the quotient is a whole number, then 3 and 148,133,810.3333 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:

1 444,401,431
-1 -444,401,431

Let's try dividing by 4:

444,401,431 ÷ 4 = 111,100,357.75

If the quotient is a whole number, then 4 and 111,100,357.75 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:

1 444,401,431
-1 444,401,431
Keep dividing by the next highest number until you cannot divide anymore.

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

119431038171,9574,4295,28184,151100,339227,083543,9434,314,57710,334,91723,389,549444,401,431
-1-19-43-103-817-1,957-4,429-5,281-84,151-100,339-227,083-543,943-4,314,577-10,334,917-23,389,549-444,401,431

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