Q: What are the factor combinations of the number 1,103,425?

 A:
Positive:   1 x 11034255 x 22068519 x 5807523 x 4797525 x 4413795 x 11615101 x 10925115 x 9595437 x 2525475 x 2323505 x 2185575 x 1919
Negative: -1 x -1103425-5 x -220685-19 x -58075-23 x -47975-25 x -44137-95 x -11615-101 x -10925-115 x -9595-437 x -2525-475 x -2323-505 x -2185-575 x -1919


How do I find the factor combinations of the number 1,103,425?

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 1,103,425, 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 1,103,425
-1 -1,103,425

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 1,103,425.

Example:
1 x 1,103,425 = 1,103,425
and
-1 x -1,103,425 = 1,103,425
Notice both answers equal 1,103,425

With that explanation out of the way, let's continue. Next, we take the number 1,103,425 and divide it by 2:

1,103,425 ÷ 2 = 551,712.5

If the quotient is a whole number, then 2 and 551,712.5 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 1,103,425
-1 -1,103,425

Now, we try dividing 1,103,425 by 3:

1,103,425 ÷ 3 = 367,808.3333

If the quotient is a whole number, then 3 and 367,808.3333 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 1,103,425
-1 -1,103,425

Let's try dividing by 4:

1,103,425 ÷ 4 = 275,856.25

If the quotient is a whole number, then 4 and 275,856.25 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 1,103,425
-1 1,103,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15192325951011154374755055751,9192,1852,3232,5259,59510,92511,61544,13747,97558,075220,6851,103,425
-1-5-19-23-25-95-101-115-437-475-505-575-1,919-2,185-2,323-2,525-9,595-10,925-11,615-44,137-47,975-58,075-220,685-1,103,425

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