Q: What are the factor combinations of the number 1,376,765?

 A:
Positive:   1 x 13767655 x 27535313 x 10590559 x 2333565 x 21181295 x 4667359 x 3835767 x 1795
Negative: -1 x -1376765-5 x -275353-13 x -105905-59 x -23335-65 x -21181-295 x -4667-359 x -3835-767 x -1795


How do I find the factor combinations of the number 1,376,765?

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 1,376,765, 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 1,376,765
-1 -1,376,765

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 1,376,765.

Example:
1 x 1,376,765 = 1,376,765
and
-1 x -1,376,765 = 1,376,765
Notice both answers equal 1,376,765

With that explanation out of the way, let's continue. Next, we take the number 1,376,765 and divide it by 2:

1,376,765 ÷ 2 = 688,382.5

If the quotient is a whole number, then 2 and 688,382.5 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 1,376,765
-1 -1,376,765

Now, we try dividing 1,376,765 by 3:

1,376,765 ÷ 3 = 458,921.6667

If the quotient is a whole number, then 3 and 458,921.6667 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 1,376,765
-1 -1,376,765

Let's try dividing by 4:

1,376,765 ÷ 4 = 344,191.25

If the quotient is a whole number, then 4 and 344,191.25 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 1,376,765
-1 1,376,765
Keep dividing by the next highest number until you cannot divide anymore.

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

151359652953597671,7953,8354,66721,18123,335105,905275,3531,376,765
-1-5-13-59-65-295-359-767-1,795-3,835-4,667-21,181-23,335-105,905-275,353-1,376,765

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