Q: What are the factor combinations of the number 1,375,615?

 A:
Positive:   1 x 13756155 x 27512329 x 4743553 x 25955145 x 9487179 x 7685265 x 5191895 x 1537
Negative: -1 x -1375615-5 x -275123-29 x -47435-53 x -25955-145 x -9487-179 x -7685-265 x -5191-895 x -1537


How do I find the factor combinations of the number 1,375,615?

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 1,375,615, 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 1,375,615
-1 -1,375,615

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 1,375,615.

Example:
1 x 1,375,615 = 1,375,615
and
-1 x -1,375,615 = 1,375,615
Notice both answers equal 1,375,615

With that explanation out of the way, let's continue. Next, we take the number 1,375,615 and divide it by 2:

1,375,615 ÷ 2 = 687,807.5

If the quotient is a whole number, then 2 and 687,807.5 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 1,375,615
-1 -1,375,615

Now, we try dividing 1,375,615 by 3:

1,375,615 ÷ 3 = 458,538.3333

If the quotient is a whole number, then 3 and 458,538.3333 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 1,375,615
-1 -1,375,615

Let's try dividing by 4:

1,375,615 ÷ 4 = 343,903.75

If the quotient is a whole number, then 4 and 343,903.75 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 1,375,615
-1 1,375,615
Keep dividing by the next highest number until you cannot divide anymore.

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

1529531451792658951,5375,1917,6859,48725,95547,435275,1231,375,615
-1-5-29-53-145-179-265-895-1,537-5,191-7,685-9,487-25,955-47,435-275,123-1,375,615

More Examples

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