Q: What are the factor combinations of the number 731,621,401?

 A:
Positive:   1 x 7316214017 x 10451734317 x 4303655349 x 14931049119 x 6148079343 x 2133007833 x 8782975831 x 125471
Negative: -1 x -731621401-7 x -104517343-17 x -43036553-49 x -14931049-119 x -6148079-343 x -2133007-833 x -878297-5831 x -125471


How do I find the factor combinations of the number 731,621,401?

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 731,621,401, 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.

1 731,621,401
-1 -731,621,401

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 731,621,401.

Example:
1 x 731,621,401 = 731,621,401
and
-1 x -731,621,401 = 731,621,401
Notice both answers equal 731,621,401

With that explanation out of the way, let's continue. Next, we take the number 731,621,401 and divide it by 2:

731,621,401 ÷ 2 = 365,810,700.5

If the quotient is a whole number, then 2 and 365,810,700.5 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:

1 731,621,401
-1 -731,621,401

Now, we try dividing 731,621,401 by 3:

731,621,401 ÷ 3 = 243,873,800.3333

If the quotient is a whole number, then 3 and 243,873,800.3333 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:

1 731,621,401
-1 -731,621,401

Let's try dividing by 4:

731,621,401 ÷ 4 = 182,905,350.25

If the quotient is a whole number, then 4 and 182,905,350.25 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:

1 731,621,401
-1 731,621,401
Keep dividing by the next highest number until you cannot divide anymore.

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

1717491193438335,831125,471878,2972,133,0076,148,07914,931,04943,036,553104,517,343731,621,401
-1-7-17-49-119-343-833-5,831-125,471-878,297-2,133,007-6,148,079-14,931,049-43,036,553-104,517,343-731,621,401

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 731,621,401:


Ask a Question