Q: What are the factor combinations of the number 28,388,729?

 A:
Positive:   1 x 2838872943 x 66020361 x 46538979 x 359351137 x 2072172623 x 108233397 x 83574819 x 5891
Negative: -1 x -28388729-43 x -660203-61 x -465389-79 x -359351-137 x -207217-2623 x -10823-3397 x -8357-4819 x -5891


How do I find the factor combinations of the number 28,388,729?

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 28,388,729, 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 28,388,729
-1 -28,388,729

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 28,388,729.

Example:
1 x 28,388,729 = 28,388,729
and
-1 x -28,388,729 = 28,388,729
Notice both answers equal 28,388,729

With that explanation out of the way, let's continue. Next, we take the number 28,388,729 and divide it by 2:

28,388,729 ÷ 2 = 14,194,364.5

If the quotient is a whole number, then 2 and 14,194,364.5 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 28,388,729
-1 -28,388,729

Now, we try dividing 28,388,729 by 3:

28,388,729 ÷ 3 = 9,462,909.6667

If the quotient is a whole number, then 3 and 9,462,909.6667 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 28,388,729
-1 -28,388,729

Let's try dividing by 4:

28,388,729 ÷ 4 = 7,097,182.25

If the quotient is a whole number, then 4 and 7,097,182.25 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 28,388,729
-1 28,388,729
Keep dividing by the next highest number until you cannot divide anymore.

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

14361791372,6233,3974,8195,8918,35710,823207,217359,351465,389660,20328,388,729
-1-43-61-79-137-2,623-3,397-4,819-5,891-8,357-10,823-207,217-359,351-465,389-660,203-28,388,729

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 28,388,729:


Ask a Question