Q: What are the factor combinations of the number 7,678,625?

 A:
Positive:   1 x 76786255 x 153572525 x 30714547 x 163375125 x 61429235 x 326751175 x 65351307 x 5875
Negative: -1 x -7678625-5 x -1535725-25 x -307145-47 x -163375-125 x -61429-235 x -32675-1175 x -6535-1307 x -5875


How do I find the factor combinations of the number 7,678,625?

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 7,678,625, 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 7,678,625
-1 -7,678,625

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 7,678,625.

Example:
1 x 7,678,625 = 7,678,625
and
-1 x -7,678,625 = 7,678,625
Notice both answers equal 7,678,625

With that explanation out of the way, let's continue. Next, we take the number 7,678,625 and divide it by 2:

7,678,625 ÷ 2 = 3,839,312.5

If the quotient is a whole number, then 2 and 3,839,312.5 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 7,678,625
-1 -7,678,625

Now, we try dividing 7,678,625 by 3:

7,678,625 ÷ 3 = 2,559,541.6667

If the quotient is a whole number, then 3 and 2,559,541.6667 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 7,678,625
-1 -7,678,625

Let's try dividing by 4:

7,678,625 ÷ 4 = 1,919,656.25

If the quotient is a whole number, then 4 and 1,919,656.25 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 7,678,625
-1 7,678,625
Keep dividing by the next highest number until you cannot divide anymore.

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

1525471252351,1751,3075,8756,53532,67561,429163,375307,1451,535,7257,678,625
-1-5-25-47-125-235-1,175-1,307-5,875-6,535-32,675-61,429-163,375-307,145-1,535,725-7,678,625

More Examples

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