Q: What are the factor combinations of the number 5,820,715?

 A:
Positive:   1 x 58207155 x 116414317 x 34239531 x 18776547 x 12384585 x 68479155 x 37553235 x 24769527 x 11045799 x 72851457 x 39952209 x 2635
Negative: -1 x -5820715-5 x -1164143-17 x -342395-31 x -187765-47 x -123845-85 x -68479-155 x -37553-235 x -24769-527 x -11045-799 x -7285-1457 x -3995-2209 x -2635


How do I find the factor combinations of the number 5,820,715?

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 5,820,715, 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 5,820,715
-1 -5,820,715

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 5,820,715.

Example:
1 x 5,820,715 = 5,820,715
and
-1 x -5,820,715 = 5,820,715
Notice both answers equal 5,820,715

With that explanation out of the way, let's continue. Next, we take the number 5,820,715 and divide it by 2:

5,820,715 ÷ 2 = 2,910,357.5

If the quotient is a whole number, then 2 and 2,910,357.5 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 5,820,715
-1 -5,820,715

Now, we try dividing 5,820,715 by 3:

5,820,715 ÷ 3 = 1,940,238.3333

If the quotient is a whole number, then 3 and 1,940,238.3333 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 5,820,715
-1 -5,820,715

Let's try dividing by 4:

5,820,715 ÷ 4 = 1,455,178.75

If the quotient is a whole number, then 4 and 1,455,178.75 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 5,820,715
-1 5,820,715
Keep dividing by the next highest number until you cannot divide anymore.

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

15173147851552355277991,4572,2092,6353,9957,28511,04524,76937,55368,479123,845187,765342,3951,164,1435,820,715
-1-5-17-31-47-85-155-235-527-799-1,457-2,209-2,635-3,995-7,285-11,045-24,769-37,553-68,479-123,845-187,765-342,395-1,164,143-5,820,715

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