Q: What are the factor combinations of the number 47,402,701?

 A:
Positive:   1 x 4740270119 x 249487923 x 206098767 x 707503437 x 1084731273 x 372371541 x 307611619 x 29279
Negative: -1 x -47402701-19 x -2494879-23 x -2060987-67 x -707503-437 x -108473-1273 x -37237-1541 x -30761-1619 x -29279


How do I find the factor combinations of the number 47,402,701?

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 47,402,701, 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 47,402,701
-1 -47,402,701

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 47,402,701.

Example:
1 x 47,402,701 = 47,402,701
and
-1 x -47,402,701 = 47,402,701
Notice both answers equal 47,402,701

With that explanation out of the way, let's continue. Next, we take the number 47,402,701 and divide it by 2:

47,402,701 ÷ 2 = 23,701,350.5

If the quotient is a whole number, then 2 and 23,701,350.5 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 47,402,701
-1 -47,402,701

Now, we try dividing 47,402,701 by 3:

47,402,701 ÷ 3 = 15,800,900.3333

If the quotient is a whole number, then 3 and 15,800,900.3333 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 47,402,701
-1 -47,402,701

Let's try dividing by 4:

47,402,701 ÷ 4 = 11,850,675.25

If the quotient is a whole number, then 4 and 11,850,675.25 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 47,402,701
-1 47,402,701
Keep dividing by the next highest number until you cannot divide anymore.

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

11923674371,2731,5411,61929,27930,76137,237108,473707,5032,060,9872,494,87947,402,701
-1-19-23-67-437-1,273-1,541-1,619-29,279-30,761-37,237-108,473-707,503-2,060,987-2,494,879-47,402,701

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