Q: What are the factor combinations of the number 5,145,713?

 A:
Positive:   1 x 514571317 x 30268919 x 27082789 x 57817179 x 28747323 x 159311513 x 34011691 x 3043
Negative: -1 x -5145713-17 x -302689-19 x -270827-89 x -57817-179 x -28747-323 x -15931-1513 x -3401-1691 x -3043


How do I find the factor combinations of the number 5,145,713?

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 5,145,713, 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 5,145,713
-1 -5,145,713

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 5,145,713.

Example:
1 x 5,145,713 = 5,145,713
and
-1 x -5,145,713 = 5,145,713
Notice both answers equal 5,145,713

With that explanation out of the way, let's continue. Next, we take the number 5,145,713 and divide it by 2:

5,145,713 ÷ 2 = 2,572,856.5

If the quotient is a whole number, then 2 and 2,572,856.5 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 5,145,713
-1 -5,145,713

Now, we try dividing 5,145,713 by 3:

5,145,713 ÷ 3 = 1,715,237.6667

If the quotient is a whole number, then 3 and 1,715,237.6667 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 5,145,713
-1 -5,145,713

Let's try dividing by 4:

5,145,713 ÷ 4 = 1,286,428.25

If the quotient is a whole number, then 4 and 1,286,428.25 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 5,145,713
-1 5,145,713
Keep dividing by the next highest number until you cannot divide anymore.

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

11719891793231,5131,6913,0433,40115,93128,74757,817270,827302,6895,145,713
-1-17-19-89-179-323-1,513-1,691-3,043-3,401-15,931-28,747-57,817-270,827-302,689-5,145,713

More Examples

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