Q: What are the factor combinations of the number 1,150,345?

 A:
Positive:   1 x 11503455 x 2300697 x 16433523 x 5001535 x 32867115 x 10003161 x 7145805 x 1429
Negative: -1 x -1150345-5 x -230069-7 x -164335-23 x -50015-35 x -32867-115 x -10003-161 x -7145-805 x -1429


How do I find the factor combinations of the number 1,150,345?

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 1,150,345, 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 1,150,345
-1 -1,150,345

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 1,150,345.

Example:
1 x 1,150,345 = 1,150,345
and
-1 x -1,150,345 = 1,150,345
Notice both answers equal 1,150,345

With that explanation out of the way, let's continue. Next, we take the number 1,150,345 and divide it by 2:

1,150,345 ÷ 2 = 575,172.5

If the quotient is a whole number, then 2 and 575,172.5 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 1,150,345
-1 -1,150,345

Now, we try dividing 1,150,345 by 3:

1,150,345 ÷ 3 = 383,448.3333

If the quotient is a whole number, then 3 and 383,448.3333 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 1,150,345
-1 -1,150,345

Let's try dividing by 4:

1,150,345 ÷ 4 = 287,586.25

If the quotient is a whole number, then 4 and 287,586.25 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 1,150,345
-1 1,150,345
Keep dividing by the next highest number until you cannot divide anymore.

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

15723351151618051,4297,14510,00332,86750,015164,335230,0691,150,345
-1-5-7-23-35-115-161-805-1,429-7,145-10,003-32,867-50,015-164,335-230,069-1,150,345

More Examples

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