Q: What are the factor combinations of the number 1,358,291?

 A:
Positive:   1 x 135829111 x 12348119 x 7148967 x 2027397 x 14003209 x 6499737 x 18431067 x 1273
Negative: -1 x -1358291-11 x -123481-19 x -71489-67 x -20273-97 x -14003-209 x -6499-737 x -1843-1067 x -1273


How do I find the factor combinations of the number 1,358,291?

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 1,358,291, 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 1,358,291
-1 -1,358,291

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 1,358,291.

Example:
1 x 1,358,291 = 1,358,291
and
-1 x -1,358,291 = 1,358,291
Notice both answers equal 1,358,291

With that explanation out of the way, let's continue. Next, we take the number 1,358,291 and divide it by 2:

1,358,291 ÷ 2 = 679,145.5

If the quotient is a whole number, then 2 and 679,145.5 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 1,358,291
-1 -1,358,291

Now, we try dividing 1,358,291 by 3:

1,358,291 ÷ 3 = 452,763.6667

If the quotient is a whole number, then 3 and 452,763.6667 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 1,358,291
-1 -1,358,291

Let's try dividing by 4:

1,358,291 ÷ 4 = 339,572.75

If the quotient is a whole number, then 4 and 339,572.75 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 1,358,291
-1 1,358,291
Keep dividing by the next highest number until you cannot divide anymore.

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

1111967972097371,0671,2731,8436,49914,00320,27371,489123,4811,358,291
-1-11-19-67-97-209-737-1,067-1,273-1,843-6,499-14,003-20,273-71,489-123,481-1,358,291

More Examples

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