Q: What are the factor combinations of the number 721,404,035?

 A:
Positive:   1 x 7214040355 x 14428080711 x 6558218555 x 1311643797 x 7437155485 x 14874311067 x 6761055335 x 135221
Negative: -1 x -721404035-5 x -144280807-11 x -65582185-55 x -13116437-97 x -7437155-485 x -1487431-1067 x -676105-5335 x -135221


How do I find the factor combinations of the number 721,404,035?

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 721,404,035, 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.

1 721,404,035
-1 -721,404,035

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 721,404,035.

Example:
1 x 721,404,035 = 721,404,035
and
-1 x -721,404,035 = 721,404,035
Notice both answers equal 721,404,035

With that explanation out of the way, let's continue. Next, we take the number 721,404,035 and divide it by 2:

721,404,035 ÷ 2 = 360,702,017.5

If the quotient is a whole number, then 2 and 360,702,017.5 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:

1 721,404,035
-1 -721,404,035

Now, we try dividing 721,404,035 by 3:

721,404,035 ÷ 3 = 240,468,011.6667

If the quotient is a whole number, then 3 and 240,468,011.6667 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:

1 721,404,035
-1 -721,404,035

Let's try dividing by 4:

721,404,035 ÷ 4 = 180,351,008.75

If the quotient is a whole number, then 4 and 180,351,008.75 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:

1 721,404,035
-1 721,404,035
Keep dividing by the next highest number until you cannot divide anymore.

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

151155974851,0675,335135,221676,1051,487,4317,437,15513,116,43765,582,185144,280,807721,404,035
-1-5-11-55-97-485-1,067-5,335-135,221-676,105-1,487,431-7,437,155-13,116,437-65,582,185-144,280,807-721,404,035

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