Q: What are the factor combinations of the number 7,625,365?

 A:
Positive:   1 x 76253655 x 152507311 x 69321519 x 40133555 x 13864395 x 80267209 x 364851045 x 7297
Negative: -1 x -7625365-5 x -1525073-11 x -693215-19 x -401335-55 x -138643-95 x -80267-209 x -36485-1045 x -7297


How do I find the factor combinations of the number 7,625,365?

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 7,625,365, 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 7,625,365
-1 -7,625,365

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 7,625,365.

Example:
1 x 7,625,365 = 7,625,365
and
-1 x -7,625,365 = 7,625,365
Notice both answers equal 7,625,365

With that explanation out of the way, let's continue. Next, we take the number 7,625,365 and divide it by 2:

7,625,365 ÷ 2 = 3,812,682.5

If the quotient is a whole number, then 2 and 3,812,682.5 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 7,625,365
-1 -7,625,365

Now, we try dividing 7,625,365 by 3:

7,625,365 ÷ 3 = 2,541,788.3333

If the quotient is a whole number, then 3 and 2,541,788.3333 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 7,625,365
-1 -7,625,365

Let's try dividing by 4:

7,625,365 ÷ 4 = 1,906,341.25

If the quotient is a whole number, then 4 and 1,906,341.25 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 7,625,365
-1 7,625,365
Keep dividing by the next highest number until you cannot divide anymore.

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

15111955952091,0457,29736,48580,267138,643401,335693,2151,525,0737,625,365
-1-5-11-19-55-95-209-1,045-7,297-36,485-80,267-138,643-401,335-693,215-1,525,073-7,625,365

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 7,625,365:


Ask a Question