Q: What are the factor combinations of the number 180,485,575?

 A:
Positive:   1 x 1804855755 x 3609711525 x 721942383 x 2174525415 x 4349052075 x 86981
Negative: -1 x -180485575-5 x -36097115-25 x -7219423-83 x -2174525-415 x -434905-2075 x -86981


How do I find the factor combinations of the number 180,485,575?

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 180,485,575, 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.

1 180,485,575
-1 -180,485,575

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 180,485,575.

Example:
1 x 180,485,575 = 180,485,575
and
-1 x -180,485,575 = 180,485,575
Notice both answers equal 180,485,575

With that explanation out of the way, let's continue. Next, we take the number 180,485,575 and divide it by 2:

180,485,575 ÷ 2 = 90,242,787.5

If the quotient is a whole number, then 2 and 90,242,787.5 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:

1 180,485,575
-1 -180,485,575

Now, we try dividing 180,485,575 by 3:

180,485,575 ÷ 3 = 60,161,858.3333

If the quotient is a whole number, then 3 and 60,161,858.3333 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:

1 180,485,575
-1 -180,485,575

Let's try dividing by 4:

180,485,575 ÷ 4 = 45,121,393.75

If the quotient is a whole number, then 4 and 45,121,393.75 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:

1 180,485,575
-1 180,485,575
Keep dividing by the next highest number until you cannot divide anymore.

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

1525834152,07586,981434,9052,174,5257,219,42336,097,115180,485,575
-1-5-25-83-415-2,075-86,981-434,905-2,174,525-7,219,423-36,097,115-180,485,575

More Examples

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