Q: What are the factor combinations of the number 893,436?

 A:
Positive:   1 x 8934362 x 4467183 x 2978124 x 2233596 x 14890612 x 74453
Negative: -1 x -893436-2 x -446718-3 x -297812-4 x -223359-6 x -148906-12 x -74453


How do I find the factor combinations of the number 893,436?

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 893,436, 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.

1 893,436
-1 -893,436

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 893,436.

Example:
1 x 893,436 = 893,436
and
-1 x -893,436 = 893,436
Notice both answers equal 893,436

With that explanation out of the way, let's continue. Next, we take the number 893,436 and divide it by 2:

893,436 ÷ 2 = 446,718

If the quotient is a whole number, then 2 and 446,718 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 2 446,718 893,436
-1 -2 -446,718 -893,436

Now, we try dividing 893,436 by 3:

893,436 ÷ 3 = 297,812

If the quotient is a whole number, then 3 and 297,812 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 3 297,812 446,718 893,436
-1 -2 -3 -297,812 -446,718 -893,436

Let's try dividing by 4:

893,436 ÷ 4 = 223,359

If the quotient is a whole number, then 4 and 223,359 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 4 223,359 297,812 446,718 893,436
-1 -2 -3 -4 -223,359 -297,812 -446,718 893,436
Keep dividing by the next highest number until you cannot divide anymore.

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

123461274,453148,906223,359297,812446,718893,436
-1-2-3-4-6-12-74,453-148,906-223,359-297,812-446,718-893,436

More Examples

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