Q: What are the factor combinations of the number 7,171,645?

 A:
Positive:   1 x 71716455 x 143432913 x 55166519 x 37745565 x 11033395 x 75491247 x 290351235 x 5807
Negative: -1 x -7171645-5 x -1434329-13 x -551665-19 x -377455-65 x -110333-95 x -75491-247 x -29035-1235 x -5807


How do I find the factor combinations of the number 7,171,645?

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 7,171,645, 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 7,171,645
-1 -7,171,645

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 7,171,645.

Example:
1 x 7,171,645 = 7,171,645
and
-1 x -7,171,645 = 7,171,645
Notice both answers equal 7,171,645

With that explanation out of the way, let's continue. Next, we take the number 7,171,645 and divide it by 2:

7,171,645 ÷ 2 = 3,585,822.5

If the quotient is a whole number, then 2 and 3,585,822.5 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 7,171,645
-1 -7,171,645

Now, we try dividing 7,171,645 by 3:

7,171,645 ÷ 3 = 2,390,548.3333

If the quotient is a whole number, then 3 and 2,390,548.3333 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 7,171,645
-1 -7,171,645

Let's try dividing by 4:

7,171,645 ÷ 4 = 1,792,911.25

If the quotient is a whole number, then 4 and 1,792,911.25 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 7,171,645
-1 7,171,645
Keep dividing by the next highest number until you cannot divide anymore.

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

15131965952471,2355,80729,03575,491110,333377,455551,6651,434,3297,171,645
-1-5-13-19-65-95-247-1,235-5,807-29,035-75,491-110,333-377,455-551,665-1,434,329-7,171,645

More Examples

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