Q: What are the factor combinations of the number 71,620,003?

 A:
Positive:   1 x 716200037 x 1023142913 x 550923191 x 787033169 x 4237871183 x 605412197 x 325994657 x 15379
Negative: -1 x -71620003-7 x -10231429-13 x -5509231-91 x -787033-169 x -423787-1183 x -60541-2197 x -32599-4657 x -15379


How do I find the factor combinations of the number 71,620,003?

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 71,620,003, 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 71,620,003
-1 -71,620,003

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 71,620,003.

Example:
1 x 71,620,003 = 71,620,003
and
-1 x -71,620,003 = 71,620,003
Notice both answers equal 71,620,003

With that explanation out of the way, let's continue. Next, we take the number 71,620,003 and divide it by 2:

71,620,003 ÷ 2 = 35,810,001.5

If the quotient is a whole number, then 2 and 35,810,001.5 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 71,620,003
-1 -71,620,003

Now, we try dividing 71,620,003 by 3:

71,620,003 ÷ 3 = 23,873,334.3333

If the quotient is a whole number, then 3 and 23,873,334.3333 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 71,620,003
-1 -71,620,003

Let's try dividing by 4:

71,620,003 ÷ 4 = 17,905,000.75

If the quotient is a whole number, then 4 and 17,905,000.75 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 71,620,003
-1 71,620,003
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911691,1832,1974,65715,37932,59960,541423,787787,0335,509,23110,231,42971,620,003
-1-7-13-91-169-1,183-2,197-4,657-15,379-32,599-60,541-423,787-787,033-5,509,231-10,231,429-71,620,003

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