Q: What are the factor combinations of the number 28,124,107?

 A:
Positive:   1 x 2812410711 x 255673737 x 76011143 x 654049407 x 69101473 x 594591591 x 176771607 x 17501
Negative: -1 x -28124107-11 x -2556737-37 x -760111-43 x -654049-407 x -69101-473 x -59459-1591 x -17677-1607 x -17501


How do I find the factor combinations of the number 28,124,107?

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 28,124,107, 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 28,124,107
-1 -28,124,107

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 28,124,107.

Example:
1 x 28,124,107 = 28,124,107
and
-1 x -28,124,107 = 28,124,107
Notice both answers equal 28,124,107

With that explanation out of the way, let's continue. Next, we take the number 28,124,107 and divide it by 2:

28,124,107 ÷ 2 = 14,062,053.5

If the quotient is a whole number, then 2 and 14,062,053.5 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 28,124,107
-1 -28,124,107

Now, we try dividing 28,124,107 by 3:

28,124,107 ÷ 3 = 9,374,702.3333

If the quotient is a whole number, then 3 and 9,374,702.3333 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 28,124,107
-1 -28,124,107

Let's try dividing by 4:

28,124,107 ÷ 4 = 7,031,026.75

If the quotient is a whole number, then 4 and 7,031,026.75 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 28,124,107
-1 28,124,107
Keep dividing by the next highest number until you cannot divide anymore.

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

11137434074731,5911,60717,50117,67759,45969,101654,049760,1112,556,73728,124,107
-1-11-37-43-407-473-1,591-1,607-17,501-17,677-59,459-69,101-654,049-760,111-2,556,737-28,124,107

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 28,124,107:


Ask a Question