Q: What are the factor combinations of the number 804,005,077?

 A:
Positive:   1 x 80400507729 x 2772431347 x 17106491181 x 44420171363 x 5898793259 x 2467035249 x 1531738507 x 94511
Negative: -1 x -804005077-29 x -27724313-47 x -17106491-181 x -4442017-1363 x -589879-3259 x -246703-5249 x -153173-8507 x -94511


How do I find the factor combinations of the number 804,005,077?

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 804,005,077, 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.

1 804,005,077
-1 -804,005,077

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 804,005,077.

Example:
1 x 804,005,077 = 804,005,077
and
-1 x -804,005,077 = 804,005,077
Notice both answers equal 804,005,077

With that explanation out of the way, let's continue. Next, we take the number 804,005,077 and divide it by 2:

804,005,077 ÷ 2 = 402,002,538.5

If the quotient is a whole number, then 2 and 402,002,538.5 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:

1 804,005,077
-1 -804,005,077

Now, we try dividing 804,005,077 by 3:

804,005,077 ÷ 3 = 268,001,692.3333

If the quotient is a whole number, then 3 and 268,001,692.3333 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:

1 804,005,077
-1 -804,005,077

Let's try dividing by 4:

804,005,077 ÷ 4 = 201,001,269.25

If the quotient is a whole number, then 4 and 201,001,269.25 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:

1 804,005,077
-1 804,005,077
Keep dividing by the next highest number until you cannot divide anymore.

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

129471811,3633,2595,2498,50794,511153,173246,703589,8794,442,01717,106,49127,724,313804,005,077
-1-29-47-181-1,363-3,259-5,249-8,507-94,511-153,173-246,703-589,879-4,442,017-17,106,491-27,724,313-804,005,077

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