Q: What are the factor combinations of the number 875,604?

 A:
Positive:   1 x 8756042 x 4378023 x 2918684 x 2189016 x 14593412 x 72967131 x 6684262 x 3342393 x 2228524 x 1671557 x 1572786 x 1114
Negative: -1 x -875604-2 x -437802-3 x -291868-4 x -218901-6 x -145934-12 x -72967-131 x -6684-262 x -3342-393 x -2228-524 x -1671-557 x -1572-786 x -1114


How do I find the factor combinations of the number 875,604?

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 875,604, 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.

1 875,604
-1 -875,604

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 875,604.

Example:
1 x 875,604 = 875,604
and
-1 x -875,604 = 875,604
Notice both answers equal 875,604

With that explanation out of the way, let's continue. Next, we take the number 875,604 and divide it by 2:

875,604 ÷ 2 = 437,802

If the quotient is a whole number, then 2 and 437,802 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 2 437,802 875,604
-1 -2 -437,802 -875,604

Now, we try dividing 875,604 by 3:

875,604 ÷ 3 = 291,868

If the quotient is a whole number, then 3 and 291,868 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 3 291,868 437,802 875,604
-1 -2 -3 -291,868 -437,802 -875,604

Let's try dividing by 4:

875,604 ÷ 4 = 218,901

If the quotient is a whole number, then 4 and 218,901 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 4 218,901 291,868 437,802 875,604
-1 -2 -3 -4 -218,901 -291,868 -437,802 875,604
Keep dividing by the next highest number until you cannot divide anymore.

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

12346121312623935245577861,1141,5721,6712,2283,3426,68472,967145,934218,901291,868437,802875,604
-1-2-3-4-6-12-131-262-393-524-557-786-1,114-1,572-1,671-2,228-3,342-6,684-72,967-145,934-218,901-291,868-437,802-875,604

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