Q: What are the factor combinations of the number 71,225,531?

 A:
Positive:   1 x 7122553113 x 547888779 x 901589223 x 319397311 x 2290211027 x 693532899 x 245694043 x 17617
Negative: -1 x -71225531-13 x -5478887-79 x -901589-223 x -319397-311 x -229021-1027 x -69353-2899 x -24569-4043 x -17617


How do I find the factor combinations of the number 71,225,531?

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 71,225,531, 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 71,225,531
-1 -71,225,531

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 71,225,531.

Example:
1 x 71,225,531 = 71,225,531
and
-1 x -71,225,531 = 71,225,531
Notice both answers equal 71,225,531

With that explanation out of the way, let's continue. Next, we take the number 71,225,531 and divide it by 2:

71,225,531 ÷ 2 = 35,612,765.5

If the quotient is a whole number, then 2 and 35,612,765.5 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 71,225,531
-1 -71,225,531

Now, we try dividing 71,225,531 by 3:

71,225,531 ÷ 3 = 23,741,843.6667

If the quotient is a whole number, then 3 and 23,741,843.6667 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 71,225,531
-1 -71,225,531

Let's try dividing by 4:

71,225,531 ÷ 4 = 17,806,382.75

If the quotient is a whole number, then 4 and 17,806,382.75 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 71,225,531
-1 71,225,531
Keep dividing by the next highest number until you cannot divide anymore.

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

113792233111,0272,8994,04317,61724,56969,353229,021319,397901,5895,478,88771,225,531
-1-13-79-223-311-1,027-2,899-4,043-17,617-24,569-69,353-229,021-319,397-901,589-5,478,887-71,225,531

More Examples

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