Q: What are the factor combinations of the number 47,612,803?

 A:
Positive:   1 x 476128037 x 680182919 x 2505937133 x 357991271 x 1756931321 x 360431897 x 250995149 x 9247
Negative: -1 x -47612803-7 x -6801829-19 x -2505937-133 x -357991-271 x -175693-1321 x -36043-1897 x -25099-5149 x -9247


How do I find the factor combinations of the number 47,612,803?

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 47,612,803, 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 47,612,803
-1 -47,612,803

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 47,612,803.

Example:
1 x 47,612,803 = 47,612,803
and
-1 x -47,612,803 = 47,612,803
Notice both answers equal 47,612,803

With that explanation out of the way, let's continue. Next, we take the number 47,612,803 and divide it by 2:

47,612,803 ÷ 2 = 23,806,401.5

If the quotient is a whole number, then 2 and 23,806,401.5 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 47,612,803
-1 -47,612,803

Now, we try dividing 47,612,803 by 3:

47,612,803 ÷ 3 = 15,870,934.3333

If the quotient is a whole number, then 3 and 15,870,934.3333 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 47,612,803
-1 -47,612,803

Let's try dividing by 4:

47,612,803 ÷ 4 = 11,903,200.75

If the quotient is a whole number, then 4 and 11,903,200.75 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 47,612,803
-1 47,612,803
Keep dividing by the next highest number until you cannot divide anymore.

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

17191332711,3211,8975,1499,24725,09936,043175,693357,9912,505,9376,801,82947,612,803
-1-7-19-133-271-1,321-1,897-5,149-9,247-25,099-36,043-175,693-357,991-2,505,937-6,801,829-47,612,803

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