Q: What are the factor combinations of the number 1,388,615?

 A:
Positive:   1 x 13886155 x 27772319 x 7308547 x 2954595 x 14617235 x 5909311 x 4465893 x 1555
Negative: -1 x -1388615-5 x -277723-19 x -73085-47 x -29545-95 x -14617-235 x -5909-311 x -4465-893 x -1555


How do I find the factor combinations of the number 1,388,615?

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 1,388,615, 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 1,388,615
-1 -1,388,615

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 1,388,615.

Example:
1 x 1,388,615 = 1,388,615
and
-1 x -1,388,615 = 1,388,615
Notice both answers equal 1,388,615

With that explanation out of the way, let's continue. Next, we take the number 1,388,615 and divide it by 2:

1,388,615 ÷ 2 = 694,307.5

If the quotient is a whole number, then 2 and 694,307.5 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 1,388,615
-1 -1,388,615

Now, we try dividing 1,388,615 by 3:

1,388,615 ÷ 3 = 462,871.6667

If the quotient is a whole number, then 3 and 462,871.6667 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 1,388,615
-1 -1,388,615

Let's try dividing by 4:

1,388,615 ÷ 4 = 347,153.75

If the quotient is a whole number, then 4 and 347,153.75 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 1,388,615
-1 1,388,615
Keep dividing by the next highest number until you cannot divide anymore.

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

151947952353118931,5554,4655,90914,61729,54573,085277,7231,388,615
-1-5-19-47-95-235-311-893-1,555-4,465-5,909-14,617-29,545-73,085-277,723-1,388,615

More Examples

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