Q: What are the factor combinations of the number 536,602,165?

 A:
Positive:   1 x 5366021655 x 10732043311 x 4878201555 x 9756403241 x 22265651205 x 4453132651 x 20241513255 x 40483
Negative: -1 x -536602165-5 x -107320433-11 x -48782015-55 x -9756403-241 x -2226565-1205 x -445313-2651 x -202415-13255 x -40483


How do I find the factor combinations of the number 536,602,165?

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 536,602,165, 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.

1 536,602,165
-1 -536,602,165

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 536,602,165.

Example:
1 x 536,602,165 = 536,602,165
and
-1 x -536,602,165 = 536,602,165
Notice both answers equal 536,602,165

With that explanation out of the way, let's continue. Next, we take the number 536,602,165 and divide it by 2:

536,602,165 ÷ 2 = 268,301,082.5

If the quotient is a whole number, then 2 and 268,301,082.5 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:

1 536,602,165
-1 -536,602,165

Now, we try dividing 536,602,165 by 3:

536,602,165 ÷ 3 = 178,867,388.3333

If the quotient is a whole number, then 3 and 178,867,388.3333 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:

1 536,602,165
-1 -536,602,165

Let's try dividing by 4:

536,602,165 ÷ 4 = 134,150,541.25

If the quotient is a whole number, then 4 and 134,150,541.25 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:

1 536,602,165
-1 536,602,165
Keep dividing by the next highest number until you cannot divide anymore.

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

1511552411,2052,65113,25540,483202,415445,3132,226,5659,756,40348,782,015107,320,433536,602,165
-1-5-11-55-241-1,205-2,651-13,255-40,483-202,415-445,313-2,226,565-9,756,403-48,782,015-107,320,433-536,602,165

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