Q: What are the factor combinations of the number 1,550,107?

 A:
Positive:   1 x 155010713 x 11923943 x 3604947 x 3298159 x 26273559 x 2773611 x 2537767 x 2021
Negative: -1 x -1550107-13 x -119239-43 x -36049-47 x -32981-59 x -26273-559 x -2773-611 x -2537-767 x -2021


How do I find the factor combinations of the number 1,550,107?

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 1,550,107, 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 1,550,107
-1 -1,550,107

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 1,550,107.

Example:
1 x 1,550,107 = 1,550,107
and
-1 x -1,550,107 = 1,550,107
Notice both answers equal 1,550,107

With that explanation out of the way, let's continue. Next, we take the number 1,550,107 and divide it by 2:

1,550,107 ÷ 2 = 775,053.5

If the quotient is a whole number, then 2 and 775,053.5 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 1,550,107
-1 -1,550,107

Now, we try dividing 1,550,107 by 3:

1,550,107 ÷ 3 = 516,702.3333

If the quotient is a whole number, then 3 and 516,702.3333 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 1,550,107
-1 -1,550,107

Let's try dividing by 4:

1,550,107 ÷ 4 = 387,526.75

If the quotient is a whole number, then 4 and 387,526.75 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 1,550,107
-1 1,550,107
Keep dividing by the next highest number until you cannot divide anymore.

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

1134347595596117672,0212,5372,77326,27332,98136,049119,2391,550,107
-1-13-43-47-59-559-611-767-2,021-2,537-2,773-26,273-32,981-36,049-119,239-1,550,107

More Examples

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