Q: What are the factor combinations of the number 39,002,579?

 A:
Positive:   1 x 390025797 x 557179711 x 354568949 x 79597177 x 506527269 x 144991539 x 723611883 x 207132959 x 13181
Negative: -1 x -39002579-7 x -5571797-11 x -3545689-49 x -795971-77 x -506527-269 x -144991-539 x -72361-1883 x -20713-2959 x -13181


How do I find the factor combinations of the number 39,002,579?

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 39,002,579, 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 39,002,579
-1 -39,002,579

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 39,002,579.

Example:
1 x 39,002,579 = 39,002,579
and
-1 x -39,002,579 = 39,002,579
Notice both answers equal 39,002,579

With that explanation out of the way, let's continue. Next, we take the number 39,002,579 and divide it by 2:

39,002,579 ÷ 2 = 19,501,289.5

If the quotient is a whole number, then 2 and 19,501,289.5 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 39,002,579
-1 -39,002,579

Now, we try dividing 39,002,579 by 3:

39,002,579 ÷ 3 = 13,000,859.6667

If the quotient is a whole number, then 3 and 13,000,859.6667 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 39,002,579
-1 -39,002,579

Let's try dividing by 4:

39,002,579 ÷ 4 = 9,750,644.75

If the quotient is a whole number, then 4 and 9,750,644.75 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 39,002,579
-1 39,002,579
Keep dividing by the next highest number until you cannot divide anymore.

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

171149772695391,8832,95913,18120,71372,361144,991506,527795,9713,545,6895,571,79739,002,579
-1-7-11-49-77-269-539-1,883-2,959-13,181-20,713-72,361-144,991-506,527-795,971-3,545,689-5,571,797-39,002,579

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 39,002,579:


Ask a Question