Q: What are the factor combinations of the number 7,171,505?

 A:
Positive:   1 x 71715055 x 143430111 x 65195555 x 130391101 x 71005505 x 142011111 x 64551291 x 5555
Negative: -1 x -7171505-5 x -1434301-11 x -651955-55 x -130391-101 x -71005-505 x -14201-1111 x -6455-1291 x -5555


How do I find the factor combinations of the number 7,171,505?

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 7,171,505, 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 7,171,505
-1 -7,171,505

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 7,171,505.

Example:
1 x 7,171,505 = 7,171,505
and
-1 x -7,171,505 = 7,171,505
Notice both answers equal 7,171,505

With that explanation out of the way, let's continue. Next, we take the number 7,171,505 and divide it by 2:

7,171,505 ÷ 2 = 3,585,752.5

If the quotient is a whole number, then 2 and 3,585,752.5 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 7,171,505
-1 -7,171,505

Now, we try dividing 7,171,505 by 3:

7,171,505 ÷ 3 = 2,390,501.6667

If the quotient is a whole number, then 3 and 2,390,501.6667 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 7,171,505
-1 -7,171,505

Let's try dividing by 4:

7,171,505 ÷ 4 = 1,792,876.25

If the quotient is a whole number, then 4 and 1,792,876.25 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 7,171,505
-1 7,171,505
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551015051,1111,2915,5556,45514,20171,005130,391651,9551,434,3017,171,505
-1-5-11-55-101-505-1,111-1,291-5,555-6,455-14,201-71,005-130,391-651,955-1,434,301-7,171,505

More Examples

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