Q: What are the factor combinations of the number 71,970,431?

 A:
Positive:   1 x 7197043113 x 553618729 x 2481739349 x 206219377 x 190903547 x 1315734537 x 158637111 x 10121
Negative: -1 x -71970431-13 x -5536187-29 x -2481739-349 x -206219-377 x -190903-547 x -131573-4537 x -15863-7111 x -10121


How do I find the factor combinations of the number 71,970,431?

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 71,970,431, 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 71,970,431
-1 -71,970,431

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 71,970,431.

Example:
1 x 71,970,431 = 71,970,431
and
-1 x -71,970,431 = 71,970,431
Notice both answers equal 71,970,431

With that explanation out of the way, let's continue. Next, we take the number 71,970,431 and divide it by 2:

71,970,431 ÷ 2 = 35,985,215.5

If the quotient is a whole number, then 2 and 35,985,215.5 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 71,970,431
-1 -71,970,431

Now, we try dividing 71,970,431 by 3:

71,970,431 ÷ 3 = 23,990,143.6667

If the quotient is a whole number, then 3 and 23,990,143.6667 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 71,970,431
-1 -71,970,431

Let's try dividing by 4:

71,970,431 ÷ 4 = 17,992,607.75

If the quotient is a whole number, then 4 and 17,992,607.75 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 71,970,431
-1 71,970,431
Keep dividing by the next highest number until you cannot divide anymore.

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

113293493775474,5377,11110,12115,863131,573190,903206,2192,481,7395,536,18771,970,431
-1-13-29-349-377-547-4,537-7,111-10,121-15,863-131,573-190,903-206,219-2,481,739-5,536,187-71,970,431

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