Q: What are the factor combinations of the number 5,742,107?

 A:
Positive:   1 x 57421077 x 82030117 x 33777173 x 78659119 x 48253511 x 11237661 x 86871241 x 4627
Negative: -1 x -5742107-7 x -820301-17 x -337771-73 x -78659-119 x -48253-511 x -11237-661 x -8687-1241 x -4627


How do I find the factor combinations of the number 5,742,107?

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 5,742,107, 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 5,742,107
-1 -5,742,107

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 5,742,107.

Example:
1 x 5,742,107 = 5,742,107
and
-1 x -5,742,107 = 5,742,107
Notice both answers equal 5,742,107

With that explanation out of the way, let's continue. Next, we take the number 5,742,107 and divide it by 2:

5,742,107 ÷ 2 = 2,871,053.5

If the quotient is a whole number, then 2 and 2,871,053.5 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 5,742,107
-1 -5,742,107

Now, we try dividing 5,742,107 by 3:

5,742,107 ÷ 3 = 1,914,035.6667

If the quotient is a whole number, then 3 and 1,914,035.6667 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 5,742,107
-1 -5,742,107

Let's try dividing by 4:

5,742,107 ÷ 4 = 1,435,526.75

If the quotient is a whole number, then 4 and 1,435,526.75 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 5,742,107
-1 5,742,107
Keep dividing by the next highest number until you cannot divide anymore.

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

1717731195116611,2414,6278,68711,23748,25378,659337,771820,3015,742,107
-1-7-17-73-119-511-661-1,241-4,627-8,687-11,237-48,253-78,659-337,771-820,301-5,742,107

More Examples

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