Q: What are the factor combinations of the number 512,047,745?

 A:
Positive:   1 x 5120477455 x 10240954911 x 4654979555 x 93099591471 x 3480956329 x 809057355 x 6961916181 x 31645
Negative: -1 x -512047745-5 x -102409549-11 x -46549795-55 x -9309959-1471 x -348095-6329 x -80905-7355 x -69619-16181 x -31645


How do I find the factor combinations of the number 512,047,745?

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 512,047,745, 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.

1 512,047,745
-1 -512,047,745

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 512,047,745.

Example:
1 x 512,047,745 = 512,047,745
and
-1 x -512,047,745 = 512,047,745
Notice both answers equal 512,047,745

With that explanation out of the way, let's continue. Next, we take the number 512,047,745 and divide it by 2:

512,047,745 ÷ 2 = 256,023,872.5

If the quotient is a whole number, then 2 and 256,023,872.5 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:

1 512,047,745
-1 -512,047,745

Now, we try dividing 512,047,745 by 3:

512,047,745 ÷ 3 = 170,682,581.6667

If the quotient is a whole number, then 3 and 170,682,581.6667 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:

1 512,047,745
-1 -512,047,745

Let's try dividing by 4:

512,047,745 ÷ 4 = 128,011,936.25

If the quotient is a whole number, then 4 and 128,011,936.25 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:

1 512,047,745
-1 512,047,745
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551,4716,3297,35516,18131,64569,61980,905348,0959,309,95946,549,795102,409,549512,047,745
-1-5-11-55-1,471-6,329-7,355-16,181-31,645-69,619-80,905-348,095-9,309,959-46,549,795-102,409,549-512,047,745

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