Q: What are the factor combinations of the number 445,512,035?

 A:
Positive:   1 x 4455120355 x 8910240743 x 10360745215 x 20721491319 x 3377651571 x 2835856595 x 675537855 x 56717
Negative: -1 x -445512035-5 x -89102407-43 x -10360745-215 x -2072149-1319 x -337765-1571 x -283585-6595 x -67553-7855 x -56717


How do I find the factor combinations of the number 445,512,035?

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 445,512,035, 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.

1 445,512,035
-1 -445,512,035

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 445,512,035.

Example:
1 x 445,512,035 = 445,512,035
and
-1 x -445,512,035 = 445,512,035
Notice both answers equal 445,512,035

With that explanation out of the way, let's continue. Next, we take the number 445,512,035 and divide it by 2:

445,512,035 ÷ 2 = 222,756,017.5

If the quotient is a whole number, then 2 and 222,756,017.5 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:

1 445,512,035
-1 -445,512,035

Now, we try dividing 445,512,035 by 3:

445,512,035 ÷ 3 = 148,504,011.6667

If the quotient is a whole number, then 3 and 148,504,011.6667 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:

1 445,512,035
-1 -445,512,035

Let's try dividing by 4:

445,512,035 ÷ 4 = 111,378,008.75

If the quotient is a whole number, then 4 and 111,378,008.75 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:

1 445,512,035
-1 445,512,035
Keep dividing by the next highest number until you cannot divide anymore.

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

15432151,3191,5716,5957,85556,71767,553283,585337,7652,072,14910,360,74589,102,407445,512,035
-1-5-43-215-1,319-1,571-6,595-7,855-56,717-67,553-283,585-337,765-2,072,149-10,360,745-89,102,407-445,512,035

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