Q: What are the factor combinations of the number 47,179,685?

 A:
Positive:   1 x 471796855 x 94359377 x 673995535 x 1347991367 x 1285551835 x 257112569 x 183653673 x 12845
Negative: -1 x -47179685-5 x -9435937-7 x -6739955-35 x -1347991-367 x -128555-1835 x -25711-2569 x -18365-3673 x -12845


How do I find the factor combinations of the number 47,179,685?

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 47,179,685, 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 47,179,685
-1 -47,179,685

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 47,179,685.

Example:
1 x 47,179,685 = 47,179,685
and
-1 x -47,179,685 = 47,179,685
Notice both answers equal 47,179,685

With that explanation out of the way, let's continue. Next, we take the number 47,179,685 and divide it by 2:

47,179,685 ÷ 2 = 23,589,842.5

If the quotient is a whole number, then 2 and 23,589,842.5 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 47,179,685
-1 -47,179,685

Now, we try dividing 47,179,685 by 3:

47,179,685 ÷ 3 = 15,726,561.6667

If the quotient is a whole number, then 3 and 15,726,561.6667 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 47,179,685
-1 -47,179,685

Let's try dividing by 4:

47,179,685 ÷ 4 = 11,794,921.25

If the quotient is a whole number, then 4 and 11,794,921.25 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 47,179,685
-1 47,179,685
Keep dividing by the next highest number until you cannot divide anymore.

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

157353671,8352,5693,67312,84518,36525,711128,5551,347,9916,739,9559,435,93747,179,685
-1-5-7-35-367-1,835-2,569-3,673-12,845-18,365-25,711-128,555-1,347,991-6,739,955-9,435,937-47,179,685

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