Q: What are the factor combinations of the number 621,416,015?

 A:
Positive:   1 x 6214160155 x 12428320311 x 5649236555 x 11298473661 x 9401153305 x 1880237271 x 8546517093 x 36355
Negative: -1 x -621416015-5 x -124283203-11 x -56492365-55 x -11298473-661 x -940115-3305 x -188023-7271 x -85465-17093 x -36355


How do I find the factor combinations of the number 621,416,015?

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 621,416,015, 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.

1 621,416,015
-1 -621,416,015

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 621,416,015.

Example:
1 x 621,416,015 = 621,416,015
and
-1 x -621,416,015 = 621,416,015
Notice both answers equal 621,416,015

With that explanation out of the way, let's continue. Next, we take the number 621,416,015 and divide it by 2:

621,416,015 ÷ 2 = 310,708,007.5

If the quotient is a whole number, then 2 and 310,708,007.5 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:

1 621,416,015
-1 -621,416,015

Now, we try dividing 621,416,015 by 3:

621,416,015 ÷ 3 = 207,138,671.6667

If the quotient is a whole number, then 3 and 207,138,671.6667 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:

1 621,416,015
-1 -621,416,015

Let's try dividing by 4:

621,416,015 ÷ 4 = 155,354,003.75

If the quotient is a whole number, then 4 and 155,354,003.75 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:

1 621,416,015
-1 621,416,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1511556613,3057,27117,09336,35585,465188,023940,11511,298,47356,492,365124,283,203621,416,015
-1-5-11-55-661-3,305-7,271-17,093-36,355-85,465-188,023-940,115-11,298,473-56,492,365-124,283,203-621,416,015

More Examples

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