Q: What are the factor combinations of the number 536,355,025?

 A:
Positive:   1 x 5363550255 x 10727100525 x 2145420131 x 17301775155 x 3460355775 x 692071
Negative: -1 x -536355025-5 x -107271005-25 x -21454201-31 x -17301775-155 x -3460355-775 x -692071


How do I find the factor combinations of the number 536,355,025?

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 536,355,025, 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.

1 536,355,025
-1 -536,355,025

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 536,355,025.

Example:
1 x 536,355,025 = 536,355,025
and
-1 x -536,355,025 = 536,355,025
Notice both answers equal 536,355,025

With that explanation out of the way, let's continue. Next, we take the number 536,355,025 and divide it by 2:

536,355,025 ÷ 2 = 268,177,512.5

If the quotient is a whole number, then 2 and 268,177,512.5 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:

1 536,355,025
-1 -536,355,025

Now, we try dividing 536,355,025 by 3:

536,355,025 ÷ 3 = 178,785,008.3333

If the quotient is a whole number, then 3 and 178,785,008.3333 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:

1 536,355,025
-1 -536,355,025

Let's try dividing by 4:

536,355,025 ÷ 4 = 134,088,756.25

If the quotient is a whole number, then 4 and 134,088,756.25 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:

1 536,355,025
-1 536,355,025
Keep dividing by the next highest number until you cannot divide anymore.

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

152531155775692,0713,460,35517,301,77521,454,201107,271,005536,355,025
-1-5-25-31-155-775-692,071-3,460,355-17,301,775-21,454,201-107,271,005-536,355,025

More Examples

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