Q: What are the factor combinations of the number 5,323,615?

 A:
Positive:   1 x 53236155 x 106472311 x 48396543 x 12380555 x 96793215 x 24761473 x 112552251 x 2365
Negative: -1 x -5323615-5 x -1064723-11 x -483965-43 x -123805-55 x -96793-215 x -24761-473 x -11255-2251 x -2365


How do I find the factor combinations of the number 5,323,615?

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 5,323,615, 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 5,323,615
-1 -5,323,615

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 5,323,615.

Example:
1 x 5,323,615 = 5,323,615
and
-1 x -5,323,615 = 5,323,615
Notice both answers equal 5,323,615

With that explanation out of the way, let's continue. Next, we take the number 5,323,615 and divide it by 2:

5,323,615 ÷ 2 = 2,661,807.5

If the quotient is a whole number, then 2 and 2,661,807.5 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 5,323,615
-1 -5,323,615

Now, we try dividing 5,323,615 by 3:

5,323,615 ÷ 3 = 1,774,538.3333

If the quotient is a whole number, then 3 and 1,774,538.3333 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 5,323,615
-1 -5,323,615

Let's try dividing by 4:

5,323,615 ÷ 4 = 1,330,903.75

If the quotient is a whole number, then 4 and 1,330,903.75 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 5,323,615
-1 5,323,615
Keep dividing by the next highest number until you cannot divide anymore.

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

151143552154732,2512,36511,25524,76196,793123,805483,9651,064,7235,323,615
-1-5-11-43-55-215-473-2,251-2,365-11,255-24,761-96,793-123,805-483,965-1,064,723-5,323,615

More Examples

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