Q: What are the factor combinations of the number 71,071,265?

 A:
Positive:   1 x 710712655 x 1421425323 x 309005537 x 1920845115 x 618011185 x 384169851 x 835154255 x 16703
Negative: -1 x -71071265-5 x -14214253-23 x -3090055-37 x -1920845-115 x -618011-185 x -384169-851 x -83515-4255 x -16703


How do I find the factor combinations of the number 71,071,265?

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 71,071,265, 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 71,071,265
-1 -71,071,265

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 71,071,265.

Example:
1 x 71,071,265 = 71,071,265
and
-1 x -71,071,265 = 71,071,265
Notice both answers equal 71,071,265

With that explanation out of the way, let's continue. Next, we take the number 71,071,265 and divide it by 2:

71,071,265 ÷ 2 = 35,535,632.5

If the quotient is a whole number, then 2 and 35,535,632.5 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 71,071,265
-1 -71,071,265

Now, we try dividing 71,071,265 by 3:

71,071,265 ÷ 3 = 23,690,421.6667

If the quotient is a whole number, then 3 and 23,690,421.6667 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 71,071,265
-1 -71,071,265

Let's try dividing by 4:

71,071,265 ÷ 4 = 17,767,816.25

If the quotient is a whole number, then 4 and 17,767,816.25 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 71,071,265
-1 71,071,265
Keep dividing by the next highest number until you cannot divide anymore.

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

1523371151858514,25516,70383,515384,169618,0111,920,8453,090,05514,214,25371,071,265
-1-5-23-37-115-185-851-4,255-16,703-83,515-384,169-618,011-1,920,845-3,090,055-14,214,253-71,071,265

More Examples

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