Q: What are the factor combinations of the number 10,460,825?

 A:
Positive:   1 x 104608255 x 209216525 x 41843337 x 28272543 x 243275185 x 56545215 x 48655263 x 39775925 x 113091075 x 97311315 x 79551591 x 6575
Negative: -1 x -10460825-5 x -2092165-25 x -418433-37 x -282725-43 x -243275-185 x -56545-215 x -48655-263 x -39775-925 x -11309-1075 x -9731-1315 x -7955-1591 x -6575


How do I find the factor combinations of the number 10,460,825?

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 10,460,825, 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 10,460,825
-1 -10,460,825

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 10,460,825.

Example:
1 x 10,460,825 = 10,460,825
and
-1 x -10,460,825 = 10,460,825
Notice both answers equal 10,460,825

With that explanation out of the way, let's continue. Next, we take the number 10,460,825 and divide it by 2:

10,460,825 ÷ 2 = 5,230,412.5

If the quotient is a whole number, then 2 and 5,230,412.5 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 10,460,825
-1 -10,460,825

Now, we try dividing 10,460,825 by 3:

10,460,825 ÷ 3 = 3,486,941.6667

If the quotient is a whole number, then 3 and 3,486,941.6667 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 10,460,825
-1 -10,460,825

Let's try dividing by 4:

10,460,825 ÷ 4 = 2,615,206.25

If the quotient is a whole number, then 4 and 2,615,206.25 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 10,460,825
-1 10,460,825
Keep dividing by the next highest number until you cannot divide anymore.

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

152537431852152639251,0751,3151,5916,5757,9559,73111,30939,77548,65556,545243,275282,725418,4332,092,16510,460,825
-1-5-25-37-43-185-215-263-925-1,075-1,315-1,591-6,575-7,955-9,731-11,309-39,775-48,655-56,545-243,275-282,725-418,433-2,092,165-10,460,825

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 10,460,825:


Ask a Question