Q: What are the factor combinations of the number 47,011,237?

 A:
Positive:   1 x 470112377 x 671589113 x 361624949 x 95941391 x 516607169 x 278173343 x 137059637 x 73801811 x 579671183 x 397394459 x 105435677 x 8281
Negative: -1 x -47011237-7 x -6715891-13 x -3616249-49 x -959413-91 x -516607-169 x -278173-343 x -137059-637 x -73801-811 x -57967-1183 x -39739-4459 x -10543-5677 x -8281


How do I find the factor combinations of the number 47,011,237?

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 47,011,237, 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 47,011,237
-1 -47,011,237

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 47,011,237.

Example:
1 x 47,011,237 = 47,011,237
and
-1 x -47,011,237 = 47,011,237
Notice both answers equal 47,011,237

With that explanation out of the way, let's continue. Next, we take the number 47,011,237 and divide it by 2:

47,011,237 ÷ 2 = 23,505,618.5

If the quotient is a whole number, then 2 and 23,505,618.5 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 47,011,237
-1 -47,011,237

Now, we try dividing 47,011,237 by 3:

47,011,237 ÷ 3 = 15,670,412.3333

If the quotient is a whole number, then 3 and 15,670,412.3333 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 47,011,237
-1 -47,011,237

Let's try dividing by 4:

47,011,237 ÷ 4 = 11,752,809.25

If the quotient is a whole number, then 4 and 11,752,809.25 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 47,011,237
-1 47,011,237
Keep dividing by the next highest number until you cannot divide anymore.

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

171349911693436378111,1834,4595,6778,28110,54339,73957,96773,801137,059278,173516,607959,4133,616,2496,715,89147,011,237
-1-7-13-49-91-169-343-637-811-1,183-4,459-5,677-8,281-10,543-39,739-57,967-73,801-137,059-278,173-516,607-959,413-3,616,249-6,715,891-47,011,237

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