Q: What are the factor combinations of the number 363,465,401?

 A:
Positive:   1 x 36346540113 x 2795887771 x 5119231139 x 2614859923 x 3937871807 x 2011432833 x 1282979869 x 36829
Negative: -1 x -363465401-13 x -27958877-71 x -5119231-139 x -2614859-923 x -393787-1807 x -201143-2833 x -128297-9869 x -36829


How do I find the factor combinations of the number 363,465,401?

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 363,465,401, 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.

1 363,465,401
-1 -363,465,401

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 363,465,401.

Example:
1 x 363,465,401 = 363,465,401
and
-1 x -363,465,401 = 363,465,401
Notice both answers equal 363,465,401

With that explanation out of the way, let's continue. Next, we take the number 363,465,401 and divide it by 2:

363,465,401 ÷ 2 = 181,732,700.5

If the quotient is a whole number, then 2 and 181,732,700.5 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:

1 363,465,401
-1 -363,465,401

Now, we try dividing 363,465,401 by 3:

363,465,401 ÷ 3 = 121,155,133.6667

If the quotient is a whole number, then 3 and 121,155,133.6667 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:

1 363,465,401
-1 -363,465,401

Let's try dividing by 4:

363,465,401 ÷ 4 = 90,866,350.25

If the quotient is a whole number, then 4 and 90,866,350.25 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:

1 363,465,401
-1 363,465,401
Keep dividing by the next highest number until you cannot divide anymore.

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

113711399231,8072,8339,86936,829128,297201,143393,7872,614,8595,119,23127,958,877363,465,401
-1-13-71-139-923-1,807-2,833-9,869-36,829-128,297-201,143-393,787-2,614,859-5,119,231-27,958,877-363,465,401

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 363,465,401:


Ask a Question