Q: What are the factor combinations of the number 7,700,741?

 A:
Positive:   1 x 770074131 x 24841143 x 17908753 x 145297109 x 706491333 x 57771643 x 46872279 x 3379
Negative: -1 x -7700741-31 x -248411-43 x -179087-53 x -145297-109 x -70649-1333 x -5777-1643 x -4687-2279 x -3379


How do I find the factor combinations of the number 7,700,741?

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 7,700,741, 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 7,700,741
-1 -7,700,741

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 7,700,741.

Example:
1 x 7,700,741 = 7,700,741
and
-1 x -7,700,741 = 7,700,741
Notice both answers equal 7,700,741

With that explanation out of the way, let's continue. Next, we take the number 7,700,741 and divide it by 2:

7,700,741 ÷ 2 = 3,850,370.5

If the quotient is a whole number, then 2 and 3,850,370.5 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 7,700,741
-1 -7,700,741

Now, we try dividing 7,700,741 by 3:

7,700,741 ÷ 3 = 2,566,913.6667

If the quotient is a whole number, then 3 and 2,566,913.6667 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 7,700,741
-1 -7,700,741

Let's try dividing by 4:

7,700,741 ÷ 4 = 1,925,185.25

If the quotient is a whole number, then 4 and 1,925,185.25 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 7,700,741
-1 7,700,741
Keep dividing by the next highest number until you cannot divide anymore.

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

13143531091,3331,6432,2793,3794,6875,77770,649145,297179,087248,4117,700,741
-1-31-43-53-109-1,333-1,643-2,279-3,379-4,687-5,777-70,649-145,297-179,087-248,411-7,700,741

More Examples

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