Q: What are the factor combinations of the number 5,315,723?

 A:
Positive:   1 x 53157237 x 75938959 x 9009761 x 87143211 x 25193413 x 12871427 x 124491477 x 3599
Negative: -1 x -5315723-7 x -759389-59 x -90097-61 x -87143-211 x -25193-413 x -12871-427 x -12449-1477 x -3599


How do I find the factor combinations of the number 5,315,723?

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 5,315,723, 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 5,315,723
-1 -5,315,723

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 5,315,723.

Example:
1 x 5,315,723 = 5,315,723
and
-1 x -5,315,723 = 5,315,723
Notice both answers equal 5,315,723

With that explanation out of the way, let's continue. Next, we take the number 5,315,723 and divide it by 2:

5,315,723 ÷ 2 = 2,657,861.5

If the quotient is a whole number, then 2 and 2,657,861.5 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 5,315,723
-1 -5,315,723

Now, we try dividing 5,315,723 by 3:

5,315,723 ÷ 3 = 1,771,907.6667

If the quotient is a whole number, then 3 and 1,771,907.6667 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 5,315,723
-1 -5,315,723

Let's try dividing by 4:

5,315,723 ÷ 4 = 1,328,930.75

If the quotient is a whole number, then 4 and 1,328,930.75 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 5,315,723
-1 5,315,723
Keep dividing by the next highest number until you cannot divide anymore.

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

1759612114134271,4773,59912,44912,87125,19387,14390,097759,3895,315,723
-1-7-59-61-211-413-427-1,477-3,599-12,449-12,871-25,193-87,143-90,097-759,389-5,315,723

More Examples

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