Q: What are the factor combinations of the number 71,002,547?

 A:
Positive:   1 x 710025477 x 1014322111 x 645477759 x 120343377 x 922111413 x 171919649 x 1094034543 x 15629
Negative: -1 x -71002547-7 x -10143221-11 x -6454777-59 x -1203433-77 x -922111-413 x -171919-649 x -109403-4543 x -15629


How do I find the factor combinations of the number 71,002,547?

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 71,002,547, 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 71,002,547
-1 -71,002,547

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 71,002,547.

Example:
1 x 71,002,547 = 71,002,547
and
-1 x -71,002,547 = 71,002,547
Notice both answers equal 71,002,547

With that explanation out of the way, let's continue. Next, we take the number 71,002,547 and divide it by 2:

71,002,547 ÷ 2 = 35,501,273.5

If the quotient is a whole number, then 2 and 35,501,273.5 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 71,002,547
-1 -71,002,547

Now, we try dividing 71,002,547 by 3:

71,002,547 ÷ 3 = 23,667,515.6667

If the quotient is a whole number, then 3 and 23,667,515.6667 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 71,002,547
-1 -71,002,547

Let's try dividing by 4:

71,002,547 ÷ 4 = 17,750,636.75

If the quotient is a whole number, then 4 and 17,750,636.75 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 71,002,547
-1 71,002,547
Keep dividing by the next highest number until you cannot divide anymore.

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

171159774136494,54315,629109,403171,919922,1111,203,4336,454,77710,143,22171,002,547
-1-7-11-59-77-413-649-4,543-15,629-109,403-171,919-922,111-1,203,433-6,454,777-10,143,221-71,002,547

More Examples

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