Q: What are the factor combinations of the number 1,009,925?

 A:
Positive:   1 x 10099255 x 2019857 x 14427525 x 4039729 x 3482535 x 28855145 x 6965175 x 5771199 x 5075203 x 4975725 x 1393995 x 1015
Negative: -1 x -1009925-5 x -201985-7 x -144275-25 x -40397-29 x -34825-35 x -28855-145 x -6965-175 x -5771-199 x -5075-203 x -4975-725 x -1393-995 x -1015


How do I find the factor combinations of the number 1,009,925?

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 1,009,925, 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 1,009,925
-1 -1,009,925

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 1,009,925.

Example:
1 x 1,009,925 = 1,009,925
and
-1 x -1,009,925 = 1,009,925
Notice both answers equal 1,009,925

With that explanation out of the way, let's continue. Next, we take the number 1,009,925 and divide it by 2:

1,009,925 ÷ 2 = 504,962.5

If the quotient is a whole number, then 2 and 504,962.5 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 1,009,925
-1 -1,009,925

Now, we try dividing 1,009,925 by 3:

1,009,925 ÷ 3 = 336,641.6667

If the quotient is a whole number, then 3 and 336,641.6667 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 1,009,925
-1 -1,009,925

Let's try dividing by 4:

1,009,925 ÷ 4 = 252,481.25

If the quotient is a whole number, then 4 and 252,481.25 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 1,009,925
-1 1,009,925
Keep dividing by the next highest number until you cannot divide anymore.

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

1572529351451751992037259951,0151,3934,9755,0755,7716,96528,85534,82540,397144,275201,9851,009,925
-1-5-7-25-29-35-145-175-199-203-725-995-1,015-1,393-4,975-5,075-5,771-6,965-28,855-34,825-40,397-144,275-201,985-1,009,925

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,009,925:


Ask a Question