Q: What are the factor combinations of the number 941,004?

 A:
Positive:   1 x 9410042 x 4705023 x 3136684 x 2352516 x 1568349 x 10455612 x 7841718 x 5227827 x 3485236 x 2613954 x 17426108 x 8713
Negative: -1 x -941004-2 x -470502-3 x -313668-4 x -235251-6 x -156834-9 x -104556-12 x -78417-18 x -52278-27 x -34852-36 x -26139-54 x -17426-108 x -8713


How do I find the factor combinations of the number 941,004?

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 941,004, 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.

1 941,004
-1 -941,004

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 941,004.

Example:
1 x 941,004 = 941,004
and
-1 x -941,004 = 941,004
Notice both answers equal 941,004

With that explanation out of the way, let's continue. Next, we take the number 941,004 and divide it by 2:

941,004 ÷ 2 = 470,502

If the quotient is a whole number, then 2 and 470,502 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 470,502 941,004
-1 -2 -470,502 -941,004

Now, we try dividing 941,004 by 3:

941,004 ÷ 3 = 313,668

If the quotient is a whole number, then 3 and 313,668 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 313,668 470,502 941,004
-1 -2 -3 -313,668 -470,502 -941,004

Let's try dividing by 4:

941,004 ÷ 4 = 235,251

If the quotient is a whole number, then 4 and 235,251 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 235,251 313,668 470,502 941,004
-1 -2 -3 -4 -235,251 -313,668 -470,502 941,004
Keep dividing by the next highest number until you cannot divide anymore.

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

12346912182736541088,71317,42626,13934,85252,27878,417104,556156,834235,251313,668470,502941,004
-1-2-3-4-6-9-12-18-27-36-54-108-8,713-17,426-26,139-34,852-52,278-78,417-104,556-156,834-235,251-313,668-470,502-941,004

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