Q: What are the factor combinations of the number 401,021,515?

 A:
Positive:   1 x 4010215155 x 80204303257 x 1560395521 x 769715599 x 6694851285 x 3120792605 x 1539432995 x 133897
Negative: -1 x -401021515-5 x -80204303-257 x -1560395-521 x -769715-599 x -669485-1285 x -312079-2605 x -153943-2995 x -133897


How do I find the factor combinations of the number 401,021,515?

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 401,021,515, 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.

1 401,021,515
-1 -401,021,515

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 401,021,515.

Example:
1 x 401,021,515 = 401,021,515
and
-1 x -401,021,515 = 401,021,515
Notice both answers equal 401,021,515

With that explanation out of the way, let's continue. Next, we take the number 401,021,515 and divide it by 2:

401,021,515 ÷ 2 = 200,510,757.5

If the quotient is a whole number, then 2 and 200,510,757.5 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:

1 401,021,515
-1 -401,021,515

Now, we try dividing 401,021,515 by 3:

401,021,515 ÷ 3 = 133,673,838.3333

If the quotient is a whole number, then 3 and 133,673,838.3333 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:

1 401,021,515
-1 -401,021,515

Let's try dividing by 4:

401,021,515 ÷ 4 = 100,255,378.75

If the quotient is a whole number, then 4 and 100,255,378.75 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:

1 401,021,515
-1 401,021,515
Keep dividing by the next highest number until you cannot divide anymore.

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

152575215991,2852,6052,995133,897153,943312,079669,485769,7151,560,39580,204,303401,021,515
-1-5-257-521-599-1,285-2,605-2,995-133,897-153,943-312,079-669,485-769,715-1,560,395-80,204,303-401,021,515

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