Q: What are the factor combinations of the number 801,837,775?

 A:
Positive:   1 x 8018377755 x 16036755525 x 32073511227 x 3532325229 x 3501475617 x 12995751135 x 7064651145 x 7002953085 x 2599155675 x 1412935725 x 14005915425 x 51983
Negative: -1 x -801837775-5 x -160367555-25 x -32073511-227 x -3532325-229 x -3501475-617 x -1299575-1135 x -706465-1145 x -700295-3085 x -259915-5675 x -141293-5725 x -140059-15425 x -51983


How do I find the factor combinations of the number 801,837,775?

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 801,837,775, 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.

1 801,837,775
-1 -801,837,775

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 801,837,775.

Example:
1 x 801,837,775 = 801,837,775
and
-1 x -801,837,775 = 801,837,775
Notice both answers equal 801,837,775

With that explanation out of the way, let's continue. Next, we take the number 801,837,775 and divide it by 2:

801,837,775 ÷ 2 = 400,918,887.5

If the quotient is a whole number, then 2 and 400,918,887.5 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:

1 801,837,775
-1 -801,837,775

Now, we try dividing 801,837,775 by 3:

801,837,775 ÷ 3 = 267,279,258.3333

If the quotient is a whole number, then 3 and 267,279,258.3333 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:

1 801,837,775
-1 -801,837,775

Let's try dividing by 4:

801,837,775 ÷ 4 = 200,459,443.75

If the quotient is a whole number, then 4 and 200,459,443.75 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:

1 801,837,775
-1 801,837,775
Keep dividing by the next highest number until you cannot divide anymore.

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

15252272296171,1351,1453,0855,6755,72515,42551,983140,059141,293259,915700,295706,4651,299,5753,501,4753,532,32532,073,511160,367,555801,837,775
-1-5-25-227-229-617-1,135-1,145-3,085-5,675-5,725-15,425-51,983-140,059-141,293-259,915-700,295-706,465-1,299,575-3,501,475-3,532,325-32,073,511-160,367,555-801,837,775

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