Q: What are the factor combinations of the number 1,070,615?

 A:
Positive:   1 x 10706155 x 2141237 x 15294513 x 8235535 x 3058965 x 1647191 x 11765169 x 6335181 x 5915455 x 2353845 x 1267905 x 1183
Negative: -1 x -1070615-5 x -214123-7 x -152945-13 x -82355-35 x -30589-65 x -16471-91 x -11765-169 x -6335-181 x -5915-455 x -2353-845 x -1267-905 x -1183


How do I find the factor combinations of the number 1,070,615?

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 1,070,615, 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 1,070,615
-1 -1,070,615

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 1,070,615.

Example:
1 x 1,070,615 = 1,070,615
and
-1 x -1,070,615 = 1,070,615
Notice both answers equal 1,070,615

With that explanation out of the way, let's continue. Next, we take the number 1,070,615 and divide it by 2:

1,070,615 ÷ 2 = 535,307.5

If the quotient is a whole number, then 2 and 535,307.5 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 1,070,615
-1 -1,070,615

Now, we try dividing 1,070,615 by 3:

1,070,615 ÷ 3 = 356,871.6667

If the quotient is a whole number, then 3 and 356,871.6667 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 1,070,615
-1 -1,070,615

Let's try dividing by 4:

1,070,615 ÷ 4 = 267,653.75

If the quotient is a whole number, then 4 and 267,653.75 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 1,070,615
-1 1,070,615
Keep dividing by the next highest number until you cannot divide anymore.

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

157133565911691814558459051,1831,2672,3535,9156,33511,76516,47130,58982,355152,945214,1231,070,615
-1-5-7-13-35-65-91-169-181-455-845-905-1,183-1,267-2,353-5,915-6,335-11,765-16,471-30,589-82,355-152,945-214,123-1,070,615

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