Q: What are the factor combinations of the number 7,363,279?

 A:
Positive:   1 x 73632797 x 105189711 x 66938919 x 38754149 x 15027177 x 95627133 x 55363209 x 35231539 x 13661719 x 10241931 x 79091463 x 5033
Negative: -1 x -7363279-7 x -1051897-11 x -669389-19 x -387541-49 x -150271-77 x -95627-133 x -55363-209 x -35231-539 x -13661-719 x -10241-931 x -7909-1463 x -5033


How do I find the factor combinations of the number 7,363,279?

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 7,363,279, 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 7,363,279
-1 -7,363,279

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 7,363,279.

Example:
1 x 7,363,279 = 7,363,279
and
-1 x -7,363,279 = 7,363,279
Notice both answers equal 7,363,279

With that explanation out of the way, let's continue. Next, we take the number 7,363,279 and divide it by 2:

7,363,279 ÷ 2 = 3,681,639.5

If the quotient is a whole number, then 2 and 3,681,639.5 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 7,363,279
-1 -7,363,279

Now, we try dividing 7,363,279 by 3:

7,363,279 ÷ 3 = 2,454,426.3333

If the quotient is a whole number, then 3 and 2,454,426.3333 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 7,363,279
-1 -7,363,279

Let's try dividing by 4:

7,363,279 ÷ 4 = 1,840,819.75

If the quotient is a whole number, then 4 and 1,840,819.75 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 7,363,279
-1 7,363,279
Keep dividing by the next highest number until you cannot divide anymore.

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

17111949771332095397199311,4635,0337,90910,24113,66135,23155,36395,627150,271387,541669,3891,051,8977,363,279
-1-7-11-19-49-77-133-209-539-719-931-1,463-5,033-7,909-10,241-13,661-35,231-55,363-95,627-150,271-387,541-669,389-1,051,897-7,363,279

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