Q: What are the factor combinations of the number 7,378,499?

 A:
Positive:   1 x 737849929 x 25443143 x 17159361 x 12095997 x 760671247 x 59171769 x 41712623 x 2813
Negative: -1 x -7378499-29 x -254431-43 x -171593-61 x -120959-97 x -76067-1247 x -5917-1769 x -4171-2623 x -2813


How do I find the factor combinations of the number 7,378,499?

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 7,378,499, 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 7,378,499
-1 -7,378,499

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 7,378,499.

Example:
1 x 7,378,499 = 7,378,499
and
-1 x -7,378,499 = 7,378,499
Notice both answers equal 7,378,499

With that explanation out of the way, let's continue. Next, we take the number 7,378,499 and divide it by 2:

7,378,499 ÷ 2 = 3,689,249.5

If the quotient is a whole number, then 2 and 3,689,249.5 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 7,378,499
-1 -7,378,499

Now, we try dividing 7,378,499 by 3:

7,378,499 ÷ 3 = 2,459,499.6667

If the quotient is a whole number, then 3 and 2,459,499.6667 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 7,378,499
-1 -7,378,499

Let's try dividing by 4:

7,378,499 ÷ 4 = 1,844,624.75

If the quotient is a whole number, then 4 and 1,844,624.75 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 7,378,499
-1 7,378,499
Keep dividing by the next highest number until you cannot divide anymore.

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

1294361971,2471,7692,6232,8134,1715,91776,067120,959171,593254,4317,378,499
-1-29-43-61-97-1,247-1,769-2,623-2,813-4,171-5,917-76,067-120,959-171,593-254,431-7,378,499

More Examples

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