Q: What are the factor combinations of the number 72,673,447?

 A:
Positive:   1 x 726734477 x 1038192111 x 660667777 x 943811121 x 600607239 x 304073359 x 202433847 x 858011673 x 434392513 x 289192629 x 276433949 x 18403
Negative: -1 x -72673447-7 x -10381921-11 x -6606677-77 x -943811-121 x -600607-239 x -304073-359 x -202433-847 x -85801-1673 x -43439-2513 x -28919-2629 x -27643-3949 x -18403


How do I find the factor combinations of the number 72,673,447?

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 72,673,447, 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 72,673,447
-1 -72,673,447

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 72,673,447.

Example:
1 x 72,673,447 = 72,673,447
and
-1 x -72,673,447 = 72,673,447
Notice both answers equal 72,673,447

With that explanation out of the way, let's continue. Next, we take the number 72,673,447 and divide it by 2:

72,673,447 ÷ 2 = 36,336,723.5

If the quotient is a whole number, then 2 and 36,336,723.5 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 72,673,447
-1 -72,673,447

Now, we try dividing 72,673,447 by 3:

72,673,447 ÷ 3 = 24,224,482.3333

If the quotient is a whole number, then 3 and 24,224,482.3333 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 72,673,447
-1 -72,673,447

Let's try dividing by 4:

72,673,447 ÷ 4 = 18,168,361.75

If the quotient is a whole number, then 4 and 18,168,361.75 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 72,673,447
-1 72,673,447
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771212393598471,6732,5132,6293,94918,40327,64328,91943,43985,801202,433304,073600,607943,8116,606,67710,381,92172,673,447
-1-7-11-77-121-239-359-847-1,673-2,513-2,629-3,949-18,403-27,643-28,919-43,439-85,801-202,433-304,073-600,607-943,811-6,606,677-10,381,921-72,673,447

More Examples

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