Q: What are the factor combinations of the number 5,831,735?

 A:
Positive:   1 x 58317355 x 11663477 x 83310513 x 44859535 x 16662149 x 11901565 x 8971991 x 64085245 x 23803455 x 12817637 x 91551831 x 3185
Negative: -1 x -5831735-5 x -1166347-7 x -833105-13 x -448595-35 x -166621-49 x -119015-65 x -89719-91 x -64085-245 x -23803-455 x -12817-637 x -9155-1831 x -3185


How do I find the factor combinations of the number 5,831,735?

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 5,831,735, 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 5,831,735
-1 -5,831,735

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 5,831,735.

Example:
1 x 5,831,735 = 5,831,735
and
-1 x -5,831,735 = 5,831,735
Notice both answers equal 5,831,735

With that explanation out of the way, let's continue. Next, we take the number 5,831,735 and divide it by 2:

5,831,735 ÷ 2 = 2,915,867.5

If the quotient is a whole number, then 2 and 2,915,867.5 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 5,831,735
-1 -5,831,735

Now, we try dividing 5,831,735 by 3:

5,831,735 ÷ 3 = 1,943,911.6667

If the quotient is a whole number, then 3 and 1,943,911.6667 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 5,831,735
-1 -5,831,735

Let's try dividing by 4:

5,831,735 ÷ 4 = 1,457,933.75

If the quotient is a whole number, then 4 and 1,457,933.75 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 5,831,735
-1 5,831,735
Keep dividing by the next highest number until you cannot divide anymore.

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

15713354965912454556371,8313,1859,15512,81723,80364,08589,719119,015166,621448,595833,1051,166,3475,831,735
-1-5-7-13-35-49-65-91-245-455-637-1,831-3,185-9,155-12,817-23,803-64,085-89,719-119,015-166,621-448,595-833,105-1,166,347-5,831,735

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