Q: What are the factor combinations of the number 5,745,817?

 A:
Positive:   1 x 57458177 x 82083111 x 52234771 x 8092777 x 74621497 x 11561781 x 73571051 x 5467
Negative: -1 x -5745817-7 x -820831-11 x -522347-71 x -80927-77 x -74621-497 x -11561-781 x -7357-1051 x -5467


How do I find the factor combinations of the number 5,745,817?

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 5,745,817, 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 5,745,817
-1 -5,745,817

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 5,745,817.

Example:
1 x 5,745,817 = 5,745,817
and
-1 x -5,745,817 = 5,745,817
Notice both answers equal 5,745,817

With that explanation out of the way, let's continue. Next, we take the number 5,745,817 and divide it by 2:

5,745,817 ÷ 2 = 2,872,908.5

If the quotient is a whole number, then 2 and 2,872,908.5 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 5,745,817
-1 -5,745,817

Now, we try dividing 5,745,817 by 3:

5,745,817 ÷ 3 = 1,915,272.3333

If the quotient is a whole number, then 3 and 1,915,272.3333 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 5,745,817
-1 -5,745,817

Let's try dividing by 4:

5,745,817 ÷ 4 = 1,436,454.25

If the quotient is a whole number, then 4 and 1,436,454.25 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 5,745,817
-1 5,745,817
Keep dividing by the next highest number until you cannot divide anymore.

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

171171774977811,0515,4677,35711,56174,62180,927522,347820,8315,745,817
-1-7-11-71-77-497-781-1,051-5,467-7,357-11,561-74,621-80,927-522,347-820,831-5,745,817

More Examples

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