Q: What are the factor combinations of the number 7,090,499?

 A:
Positive:   1 x 709049913 x 54542341 x 17293953 x 133783251 x 28249533 x 13303689 x 102912173 x 3263
Negative: -1 x -7090499-13 x -545423-41 x -172939-53 x -133783-251 x -28249-533 x -13303-689 x -10291-2173 x -3263


How do I find the factor combinations of the number 7,090,499?

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 7,090,499, 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 7,090,499
-1 -7,090,499

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 7,090,499.

Example:
1 x 7,090,499 = 7,090,499
and
-1 x -7,090,499 = 7,090,499
Notice both answers equal 7,090,499

With that explanation out of the way, let's continue. Next, we take the number 7,090,499 and divide it by 2:

7,090,499 ÷ 2 = 3,545,249.5

If the quotient is a whole number, then 2 and 3,545,249.5 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 7,090,499
-1 -7,090,499

Now, we try dividing 7,090,499 by 3:

7,090,499 ÷ 3 = 2,363,499.6667

If the quotient is a whole number, then 3 and 2,363,499.6667 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 7,090,499
-1 -7,090,499

Let's try dividing by 4:

7,090,499 ÷ 4 = 1,772,624.75

If the quotient is a whole number, then 4 and 1,772,624.75 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 7,090,499
-1 7,090,499
Keep dividing by the next highest number until you cannot divide anymore.

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

11341532515336892,1733,26310,29113,30328,249133,783172,939545,4237,090,499
-1-13-41-53-251-533-689-2,173-3,263-10,291-13,303-28,249-133,783-172,939-545,423-7,090,499

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 7,090,499:


Ask a Question