Q: What are the factor combinations of the number 47,739,685?

 A:
Positive:   1 x 477396855 x 95479377 x 681995519 x 251261535 x 136399195 x 502523133 x 358945665 x 71789
Negative: -1 x -47739685-5 x -9547937-7 x -6819955-19 x -2512615-35 x -1363991-95 x -502523-133 x -358945-665 x -71789


How do I find the factor combinations of the number 47,739,685?

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 47,739,685, 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 47,739,685
-1 -47,739,685

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 47,739,685.

Example:
1 x 47,739,685 = 47,739,685
and
-1 x -47,739,685 = 47,739,685
Notice both answers equal 47,739,685

With that explanation out of the way, let's continue. Next, we take the number 47,739,685 and divide it by 2:

47,739,685 ÷ 2 = 23,869,842.5

If the quotient is a whole number, then 2 and 23,869,842.5 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 47,739,685
-1 -47,739,685

Now, we try dividing 47,739,685 by 3:

47,739,685 ÷ 3 = 15,913,228.3333

If the quotient is a whole number, then 3 and 15,913,228.3333 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 47,739,685
-1 -47,739,685

Let's try dividing by 4:

47,739,685 ÷ 4 = 11,934,921.25

If the quotient is a whole number, then 4 and 11,934,921.25 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 47,739,685
-1 47,739,685
Keep dividing by the next highest number until you cannot divide anymore.

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

15719359513366571,789358,945502,5231,363,9912,512,6156,819,9559,547,93747,739,685
-1-5-7-19-35-95-133-665-71,789-358,945-502,523-1,363,991-2,512,615-6,819,955-9,547,937-47,739,685

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