Q: What are the factor combinations of the number 47,262,671?

 A:
Positive:   1 x 4726267119 x 248750967 x 705413137 x 344983271 x 1744011273 x 371272603 x 181575149 x 9179
Negative: -1 x -47262671-19 x -2487509-67 x -705413-137 x -344983-271 x -174401-1273 x -37127-2603 x -18157-5149 x -9179


How do I find the factor combinations of the number 47,262,671?

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 47,262,671, 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 47,262,671
-1 -47,262,671

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 47,262,671.

Example:
1 x 47,262,671 = 47,262,671
and
-1 x -47,262,671 = 47,262,671
Notice both answers equal 47,262,671

With that explanation out of the way, let's continue. Next, we take the number 47,262,671 and divide it by 2:

47,262,671 ÷ 2 = 23,631,335.5

If the quotient is a whole number, then 2 and 23,631,335.5 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 47,262,671
-1 -47,262,671

Now, we try dividing 47,262,671 by 3:

47,262,671 ÷ 3 = 15,754,223.6667

If the quotient is a whole number, then 3 and 15,754,223.6667 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 47,262,671
-1 -47,262,671

Let's try dividing by 4:

47,262,671 ÷ 4 = 11,815,667.75

If the quotient is a whole number, then 4 and 11,815,667.75 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 47,262,671
-1 47,262,671
Keep dividing by the next highest number until you cannot divide anymore.

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

119671372711,2732,6035,1499,17918,15737,127174,401344,983705,4132,487,50947,262,671
-1-19-67-137-271-1,273-2,603-5,149-9,179-18,157-37,127-174,401-344,983-705,413-2,487,509-47,262,671

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