Q: What are the factor combinations of the number 71,043,661?

 A:
Positive:   1 x 7104366113 x 546489731 x 2291731173 x 410657403 x 1762871019 x 697192249 x 315895363 x 13247
Negative: -1 x -71043661-13 x -5464897-31 x -2291731-173 x -410657-403 x -176287-1019 x -69719-2249 x -31589-5363 x -13247


How do I find the factor combinations of the number 71,043,661?

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 71,043,661, 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 71,043,661
-1 -71,043,661

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 71,043,661.

Example:
1 x 71,043,661 = 71,043,661
and
-1 x -71,043,661 = 71,043,661
Notice both answers equal 71,043,661

With that explanation out of the way, let's continue. Next, we take the number 71,043,661 and divide it by 2:

71,043,661 ÷ 2 = 35,521,830.5

If the quotient is a whole number, then 2 and 35,521,830.5 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 71,043,661
-1 -71,043,661

Now, we try dividing 71,043,661 by 3:

71,043,661 ÷ 3 = 23,681,220.3333

If the quotient is a whole number, then 3 and 23,681,220.3333 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 71,043,661
-1 -71,043,661

Let's try dividing by 4:

71,043,661 ÷ 4 = 17,760,915.25

If the quotient is a whole number, then 4 and 17,760,915.25 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 71,043,661
-1 71,043,661
Keep dividing by the next highest number until you cannot divide anymore.

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

113311734031,0192,2495,36313,24731,58969,719176,287410,6572,291,7315,464,89771,043,661
-1-13-31-173-403-1,019-2,249-5,363-13,247-31,589-69,719-176,287-410,657-2,291,731-5,464,897-71,043,661

More Examples

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