Q: What are the factor combinations of the number 5,310,823?

 A:
Positive:   1 x 53108237 x 75868919 x 27951773 x 72751133 x 39931511 x 10393547 x 97091387 x 3829
Negative: -1 x -5310823-7 x -758689-19 x -279517-73 x -72751-133 x -39931-511 x -10393-547 x -9709-1387 x -3829


How do I find the factor combinations of the number 5,310,823?

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 5,310,823, 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 5,310,823
-1 -5,310,823

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 5,310,823.

Example:
1 x 5,310,823 = 5,310,823
and
-1 x -5,310,823 = 5,310,823
Notice both answers equal 5,310,823

With that explanation out of the way, let's continue. Next, we take the number 5,310,823 and divide it by 2:

5,310,823 ÷ 2 = 2,655,411.5

If the quotient is a whole number, then 2 and 2,655,411.5 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 5,310,823
-1 -5,310,823

Now, we try dividing 5,310,823 by 3:

5,310,823 ÷ 3 = 1,770,274.3333

If the quotient is a whole number, then 3 and 1,770,274.3333 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 5,310,823
-1 -5,310,823

Let's try dividing by 4:

5,310,823 ÷ 4 = 1,327,705.75

If the quotient is a whole number, then 4 and 1,327,705.75 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 5,310,823
-1 5,310,823
Keep dividing by the next highest number until you cannot divide anymore.

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

1719731335115471,3873,8299,70910,39339,93172,751279,517758,6895,310,823
-1-7-19-73-133-511-547-1,387-3,829-9,709-10,393-39,931-72,751-279,517-758,689-5,310,823

More Examples

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