Q: What are the factor combinations of the number 445,324,355?

 A:
Positive:   1 x 4453243555 x 890648717 x 6361776535 x 127235532797 x 1592154549 x 9789513985 x 3184319579 x 22745
Negative: -1 x -445324355-5 x -89064871-7 x -63617765-35 x -12723553-2797 x -159215-4549 x -97895-13985 x -31843-19579 x -22745


How do I find the factor combinations of the number 445,324,355?

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 445,324,355, 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.

1 445,324,355
-1 -445,324,355

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 445,324,355.

Example:
1 x 445,324,355 = 445,324,355
and
-1 x -445,324,355 = 445,324,355
Notice both answers equal 445,324,355

With that explanation out of the way, let's continue. Next, we take the number 445,324,355 and divide it by 2:

445,324,355 ÷ 2 = 222,662,177.5

If the quotient is a whole number, then 2 and 222,662,177.5 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:

1 445,324,355
-1 -445,324,355

Now, we try dividing 445,324,355 by 3:

445,324,355 ÷ 3 = 148,441,451.6667

If the quotient is a whole number, then 3 and 148,441,451.6667 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:

1 445,324,355
-1 -445,324,355

Let's try dividing by 4:

445,324,355 ÷ 4 = 111,331,088.75

If the quotient is a whole number, then 4 and 111,331,088.75 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:

1 445,324,355
-1 445,324,355
Keep dividing by the next highest number until you cannot divide anymore.

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

157352,7974,54913,98519,57922,74531,84397,895159,21512,723,55363,617,76589,064,871445,324,355
-1-5-7-35-2,797-4,549-13,985-19,579-22,745-31,843-97,895-159,215-12,723,553-63,617,765-89,064,871-445,324,355

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