Q: What are the factor combinations of the number 536,152,165?

 A:
Positive:   1 x 5361521655 x 10723043319 x 2821853543 x 1246865595 x 5643707215 x 2493731817 x 6562454085 x 131249
Negative: -1 x -536152165-5 x -107230433-19 x -28218535-43 x -12468655-95 x -5643707-215 x -2493731-817 x -656245-4085 x -131249


How do I find the factor combinations of the number 536,152,165?

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 536,152,165, 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.

1 536,152,165
-1 -536,152,165

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 536,152,165.

Example:
1 x 536,152,165 = 536,152,165
and
-1 x -536,152,165 = 536,152,165
Notice both answers equal 536,152,165

With that explanation out of the way, let's continue. Next, we take the number 536,152,165 and divide it by 2:

536,152,165 ÷ 2 = 268,076,082.5

If the quotient is a whole number, then 2 and 268,076,082.5 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:

1 536,152,165
-1 -536,152,165

Now, we try dividing 536,152,165 by 3:

536,152,165 ÷ 3 = 178,717,388.3333

If the quotient is a whole number, then 3 and 178,717,388.3333 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:

1 536,152,165
-1 -536,152,165

Let's try dividing by 4:

536,152,165 ÷ 4 = 134,038,041.25

If the quotient is a whole number, then 4 and 134,038,041.25 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:

1 536,152,165
-1 536,152,165
Keep dividing by the next highest number until you cannot divide anymore.

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

151943952158174,085131,249656,2452,493,7315,643,70712,468,65528,218,535107,230,433536,152,165
-1-5-19-43-95-215-817-4,085-131,249-656,245-2,493,731-5,643,707-12,468,655-28,218,535-107,230,433-536,152,165

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