Q: What are the factor combinations of the number 72,348,067?

 A:
Positive:   1 x 7234806711 x 657709719 x 380779341 x 1764587209 x 346163451 x 160417779 x 928738443 x 8569
Negative: -1 x -72348067-11 x -6577097-19 x -3807793-41 x -1764587-209 x -346163-451 x -160417-779 x -92873-8443 x -8569


How do I find the factor combinations of the number 72,348,067?

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 72,348,067, 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 72,348,067
-1 -72,348,067

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 72,348,067.

Example:
1 x 72,348,067 = 72,348,067
and
-1 x -72,348,067 = 72,348,067
Notice both answers equal 72,348,067

With that explanation out of the way, let's continue. Next, we take the number 72,348,067 and divide it by 2:

72,348,067 ÷ 2 = 36,174,033.5

If the quotient is a whole number, then 2 and 36,174,033.5 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 72,348,067
-1 -72,348,067

Now, we try dividing 72,348,067 by 3:

72,348,067 ÷ 3 = 24,116,022.3333

If the quotient is a whole number, then 3 and 24,116,022.3333 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 72,348,067
-1 -72,348,067

Let's try dividing by 4:

72,348,067 ÷ 4 = 18,087,016.75

If the quotient is a whole number, then 4 and 18,087,016.75 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 72,348,067
-1 72,348,067
Keep dividing by the next highest number until you cannot divide anymore.

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

11119412094517798,4438,56992,873160,417346,1631,764,5873,807,7936,577,09772,348,067
-1-11-19-41-209-451-779-8,443-8,569-92,873-160,417-346,163-1,764,587-3,807,793-6,577,097-72,348,067

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