Q: What are the factor combinations of the number 720,401,561?

 A:
Positive:   1 x 72040156111 x 6549105123 x 31321807253 x 2847437607 x 11868234691 x 1535716677 x 10789313961 x 51601
Negative: -1 x -720401561-11 x -65491051-23 x -31321807-253 x -2847437-607 x -1186823-4691 x -153571-6677 x -107893-13961 x -51601


How do I find the factor combinations of the number 720,401,561?

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 720,401,561, 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.

1 720,401,561
-1 -720,401,561

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 720,401,561.

Example:
1 x 720,401,561 = 720,401,561
and
-1 x -720,401,561 = 720,401,561
Notice both answers equal 720,401,561

With that explanation out of the way, let's continue. Next, we take the number 720,401,561 and divide it by 2:

720,401,561 ÷ 2 = 360,200,780.5

If the quotient is a whole number, then 2 and 360,200,780.5 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:

1 720,401,561
-1 -720,401,561

Now, we try dividing 720,401,561 by 3:

720,401,561 ÷ 3 = 240,133,853.6667

If the quotient is a whole number, then 3 and 240,133,853.6667 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:

1 720,401,561
-1 -720,401,561

Let's try dividing by 4:

720,401,561 ÷ 4 = 180,100,390.25

If the quotient is a whole number, then 4 and 180,100,390.25 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:

1 720,401,561
-1 720,401,561
Keep dividing by the next highest number until you cannot divide anymore.

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

111232536074,6916,67713,96151,601107,893153,5711,186,8232,847,43731,321,80765,491,051720,401,561
-1-11-23-253-607-4,691-6,677-13,961-51,601-107,893-153,571-1,186,823-2,847,437-31,321,807-65,491,051-720,401,561

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