Q: What are the factor combinations of the number 724,143,539?

 A:
Positive:   1 x 7241435397 x 10344907731 x 2335946937 x 19571447217 x 3337067259 x 27959211147 x 6313378029 x 90191
Negative: -1 x -724143539-7 x -103449077-31 x -23359469-37 x -19571447-217 x -3337067-259 x -2795921-1147 x -631337-8029 x -90191


How do I find the factor combinations of the number 724,143,539?

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 724,143,539, 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.

1 724,143,539
-1 -724,143,539

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 724,143,539.

Example:
1 x 724,143,539 = 724,143,539
and
-1 x -724,143,539 = 724,143,539
Notice both answers equal 724,143,539

With that explanation out of the way, let's continue. Next, we take the number 724,143,539 and divide it by 2:

724,143,539 ÷ 2 = 362,071,769.5

If the quotient is a whole number, then 2 and 362,071,769.5 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:

1 724,143,539
-1 -724,143,539

Now, we try dividing 724,143,539 by 3:

724,143,539 ÷ 3 = 241,381,179.6667

If the quotient is a whole number, then 3 and 241,381,179.6667 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:

1 724,143,539
-1 -724,143,539

Let's try dividing by 4:

724,143,539 ÷ 4 = 181,035,884.75

If the quotient is a whole number, then 4 and 181,035,884.75 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:

1 724,143,539
-1 724,143,539
Keep dividing by the next highest number until you cannot divide anymore.

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

1731372172591,1478,02990,191631,3372,795,9213,337,06719,571,44723,359,469103,449,077724,143,539
-1-7-31-37-217-259-1,147-8,029-90,191-631,337-2,795,921-3,337,067-19,571,447-23,359,469-103,449,077-724,143,539

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 724,143,539:


Ask a Question