Q: What are the factor combinations of the number 5,230,729?

 A:
Positive:   1 x 52307297 x 74724723 x 22742353 x 98693161 x 32489371 x 14099613 x 85331219 x 4291
Negative: -1 x -5230729-7 x -747247-23 x -227423-53 x -98693-161 x -32489-371 x -14099-613 x -8533-1219 x -4291


How do I find the factor combinations of the number 5,230,729?

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 5,230,729, 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 5,230,729
-1 -5,230,729

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 5,230,729.

Example:
1 x 5,230,729 = 5,230,729
and
-1 x -5,230,729 = 5,230,729
Notice both answers equal 5,230,729

With that explanation out of the way, let's continue. Next, we take the number 5,230,729 and divide it by 2:

5,230,729 ÷ 2 = 2,615,364.5

If the quotient is a whole number, then 2 and 2,615,364.5 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 5,230,729
-1 -5,230,729

Now, we try dividing 5,230,729 by 3:

5,230,729 ÷ 3 = 1,743,576.3333

If the quotient is a whole number, then 3 and 1,743,576.3333 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 5,230,729
-1 -5,230,729

Let's try dividing by 4:

5,230,729 ÷ 4 = 1,307,682.25

If the quotient is a whole number, then 4 and 1,307,682.25 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 5,230,729
-1 5,230,729
Keep dividing by the next highest number until you cannot divide anymore.

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

1723531613716131,2194,2918,53314,09932,48998,693227,423747,2475,230,729
-1-7-23-53-161-371-613-1,219-4,291-8,533-14,099-32,489-98,693-227,423-747,247-5,230,729

More Examples

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