Q: What are the factor combinations of the number 401,621,065?

 A:
Positive:   1 x 4016210655 x 803242131753 x 2291058765 x 45821
Negative: -1 x -401621065-5 x -80324213-1753 x -229105-8765 x -45821


How do I find the factor combinations of the number 401,621,065?

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 401,621,065, 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.

1 401,621,065
-1 -401,621,065

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 401,621,065.

Example:
1 x 401,621,065 = 401,621,065
and
-1 x -401,621,065 = 401,621,065
Notice both answers equal 401,621,065

With that explanation out of the way, let's continue. Next, we take the number 401,621,065 and divide it by 2:

401,621,065 ÷ 2 = 200,810,532.5

If the quotient is a whole number, then 2 and 200,810,532.5 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:

1 401,621,065
-1 -401,621,065

Now, we try dividing 401,621,065 by 3:

401,621,065 ÷ 3 = 133,873,688.3333

If the quotient is a whole number, then 3 and 133,873,688.3333 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:

1 401,621,065
-1 -401,621,065

Let's try dividing by 4:

401,621,065 ÷ 4 = 100,405,266.25

If the quotient is a whole number, then 4 and 100,405,266.25 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:

1 401,621,065
-1 401,621,065
Keep dividing by the next highest number until you cannot divide anymore.

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

151,7538,76545,821229,10580,324,213401,621,065
-1-5-1,753-8,765-45,821-229,105-80,324,213-401,621,065

More Examples

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