Q: What are the factor combinations of the number 444,040,555?

 A:
Positive:   1 x 4440405555 x 888081117 x 6343436535 x 126868732087 x 2127656079 x 7304510435 x 4255314609 x 30395
Negative: -1 x -444040555-5 x -88808111-7 x -63434365-35 x -12686873-2087 x -212765-6079 x -73045-10435 x -42553-14609 x -30395


How do I find the factor combinations of the number 444,040,555?

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 444,040,555, 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.

1 444,040,555
-1 -444,040,555

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 444,040,555.

Example:
1 x 444,040,555 = 444,040,555
and
-1 x -444,040,555 = 444,040,555
Notice both answers equal 444,040,555

With that explanation out of the way, let's continue. Next, we take the number 444,040,555 and divide it by 2:

444,040,555 ÷ 2 = 222,020,277.5

If the quotient is a whole number, then 2 and 222,020,277.5 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:

1 444,040,555
-1 -444,040,555

Now, we try dividing 444,040,555 by 3:

444,040,555 ÷ 3 = 148,013,518.3333

If the quotient is a whole number, then 3 and 148,013,518.3333 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:

1 444,040,555
-1 -444,040,555

Let's try dividing by 4:

444,040,555 ÷ 4 = 111,010,138.75

If the quotient is a whole number, then 4 and 111,010,138.75 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:

1 444,040,555
-1 444,040,555
Keep dividing by the next highest number until you cannot divide anymore.

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

157352,0876,07910,43514,60930,39542,55373,045212,76512,686,87363,434,36588,808,111444,040,555
-1-5-7-35-2,087-6,079-10,435-14,609-30,395-42,553-73,045-212,765-12,686,873-63,434,365-88,808,111-444,040,555

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