Q: What are the factor combinations of the number 71,300,047?

 A:
Positive:   1 x 713000477 x 1018572113 x 548461949 x 145510391 x 783517173 x 412139637 x 111931647 x 1102011211 x 588772249 x 317034529 x 157438411 x 8477
Negative: -1 x -71300047-7 x -10185721-13 x -5484619-49 x -1455103-91 x -783517-173 x -412139-637 x -111931-647 x -110201-1211 x -58877-2249 x -31703-4529 x -15743-8411 x -8477


How do I find the factor combinations of the number 71,300,047?

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 71,300,047, 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 71,300,047
-1 -71,300,047

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 71,300,047.

Example:
1 x 71,300,047 = 71,300,047
and
-1 x -71,300,047 = 71,300,047
Notice both answers equal 71,300,047

With that explanation out of the way, let's continue. Next, we take the number 71,300,047 and divide it by 2:

71,300,047 ÷ 2 = 35,650,023.5

If the quotient is a whole number, then 2 and 35,650,023.5 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 71,300,047
-1 -71,300,047

Now, we try dividing 71,300,047 by 3:

71,300,047 ÷ 3 = 23,766,682.3333

If the quotient is a whole number, then 3 and 23,766,682.3333 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 71,300,047
-1 -71,300,047

Let's try dividing by 4:

71,300,047 ÷ 4 = 17,825,011.75

If the quotient is a whole number, then 4 and 17,825,011.75 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 71,300,047
-1 71,300,047
Keep dividing by the next highest number until you cannot divide anymore.

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

171349911736376471,2112,2494,5298,4118,47715,74331,70358,877110,201111,931412,139783,5171,455,1035,484,61910,185,72171,300,047
-1-7-13-49-91-173-637-647-1,211-2,249-4,529-8,411-8,477-15,743-31,703-58,877-110,201-111,931-412,139-783,517-1,455,103-5,484,619-10,185,721-71,300,047

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