Q: What are the factor combinations of the number 485,373,025?

 A:
Positive:   1 x 4853730255 x 9707460523 x 2110317525 x 19414921115 x 4220635575 x 844127
Negative: -1 x -485373025-5 x -97074605-23 x -21103175-25 x -19414921-115 x -4220635-575 x -844127


How do I find the factor combinations of the number 485,373,025?

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 485,373,025, 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.

1 485,373,025
-1 -485,373,025

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 485,373,025.

Example:
1 x 485,373,025 = 485,373,025
and
-1 x -485,373,025 = 485,373,025
Notice both answers equal 485,373,025

With that explanation out of the way, let's continue. Next, we take the number 485,373,025 and divide it by 2:

485,373,025 ÷ 2 = 242,686,512.5

If the quotient is a whole number, then 2 and 242,686,512.5 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:

1 485,373,025
-1 -485,373,025

Now, we try dividing 485,373,025 by 3:

485,373,025 ÷ 3 = 161,791,008.3333

If the quotient is a whole number, then 3 and 161,791,008.3333 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:

1 485,373,025
-1 -485,373,025

Let's try dividing by 4:

485,373,025 ÷ 4 = 121,343,256.25

If the quotient is a whole number, then 4 and 121,343,256.25 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:

1 485,373,025
-1 485,373,025
Keep dividing by the next highest number until you cannot divide anymore.

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

152325115575844,1274,220,63519,414,92121,103,17597,074,605485,373,025
-1-5-23-25-115-575-844,127-4,220,635-19,414,921-21,103,175-97,074,605-485,373,025

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