Q: What are the factor combinations of the number 4,367,615?

 A:
Positive:   1 x 43676155 x 8735237 x 62394535 x 12478949 x 89135245 x 17827
Negative: -1 x -4367615-5 x -873523-7 x -623945-35 x -124789-49 x -89135-245 x -17827


How do I find the factor combinations of the number 4,367,615?

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 4,367,615, 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 4,367,615
-1 -4,367,615

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 4,367,615.

Example:
1 x 4,367,615 = 4,367,615
and
-1 x -4,367,615 = 4,367,615
Notice both answers equal 4,367,615

With that explanation out of the way, let's continue. Next, we take the number 4,367,615 and divide it by 2:

4,367,615 ÷ 2 = 2,183,807.5

If the quotient is a whole number, then 2 and 2,183,807.5 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 4,367,615
-1 -4,367,615

Now, we try dividing 4,367,615 by 3:

4,367,615 ÷ 3 = 1,455,871.6667

If the quotient is a whole number, then 3 and 1,455,871.6667 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 4,367,615
-1 -4,367,615

Let's try dividing by 4:

4,367,615 ÷ 4 = 1,091,903.75

If the quotient is a whole number, then 4 and 1,091,903.75 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 4,367,615
-1 4,367,615
Keep dividing by the next highest number until you cannot divide anymore.

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

157354924517,82789,135124,789623,945873,5234,367,615
-1-5-7-35-49-245-17,827-89,135-124,789-623,945-873,523-4,367,615

More Examples

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