Q: What are the factor combinations of the number 660,401,245?

 A:
Positive:   1 x 6604012455 x 1320802497 x 9434303535 x 1886860767 x 9856735335 x 1971347469 x 14081052345 x 281621
Negative: -1 x -660401245-5 x -132080249-7 x -94343035-35 x -18868607-67 x -9856735-335 x -1971347-469 x -1408105-2345 x -281621


How do I find the factor combinations of the number 660,401,245?

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 660,401,245, 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.

1 660,401,245
-1 -660,401,245

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 660,401,245.

Example:
1 x 660,401,245 = 660,401,245
and
-1 x -660,401,245 = 660,401,245
Notice both answers equal 660,401,245

With that explanation out of the way, let's continue. Next, we take the number 660,401,245 and divide it by 2:

660,401,245 ÷ 2 = 330,200,622.5

If the quotient is a whole number, then 2 and 330,200,622.5 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:

1 660,401,245
-1 -660,401,245

Now, we try dividing 660,401,245 by 3:

660,401,245 ÷ 3 = 220,133,748.3333

If the quotient is a whole number, then 3 and 220,133,748.3333 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:

1 660,401,245
-1 -660,401,245

Let's try dividing by 4:

660,401,245 ÷ 4 = 165,100,311.25

If the quotient is a whole number, then 4 and 165,100,311.25 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:

1 660,401,245
-1 660,401,245
Keep dividing by the next highest number until you cannot divide anymore.

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

15735673354692,345281,6211,408,1051,971,3479,856,73518,868,60794,343,035132,080,249660,401,245
-1-5-7-35-67-335-469-2,345-281,621-1,408,105-1,971,347-9,856,735-18,868,607-94,343,035-132,080,249-660,401,245

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