Q: What are the factor combinations of the number 371,472,763?

 A:
Positive:   1 x 37147276317 x 21851339109 x 3408007307 x 1210009653 x 5688711853 x 2004715219 x 7117711101 x 33463
Negative: -1 x -371472763-17 x -21851339-109 x -3408007-307 x -1210009-653 x -568871-1853 x -200471-5219 x -71177-11101 x -33463


How do I find the factor combinations of the number 371,472,763?

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 371,472,763, 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.

1 371,472,763
-1 -371,472,763

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 371,472,763.

Example:
1 x 371,472,763 = 371,472,763
and
-1 x -371,472,763 = 371,472,763
Notice both answers equal 371,472,763

With that explanation out of the way, let's continue. Next, we take the number 371,472,763 and divide it by 2:

371,472,763 ÷ 2 = 185,736,381.5

If the quotient is a whole number, then 2 and 185,736,381.5 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:

1 371,472,763
-1 -371,472,763

Now, we try dividing 371,472,763 by 3:

371,472,763 ÷ 3 = 123,824,254.3333

If the quotient is a whole number, then 3 and 123,824,254.3333 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:

1 371,472,763
-1 -371,472,763

Let's try dividing by 4:

371,472,763 ÷ 4 = 92,868,190.75

If the quotient is a whole number, then 4 and 92,868,190.75 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:

1 371,472,763
-1 371,472,763
Keep dividing by the next highest number until you cannot divide anymore.

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

1171093076531,8535,21911,10133,46371,177200,471568,8711,210,0093,408,00721,851,339371,472,763
-1-17-109-307-653-1,853-5,219-11,101-33,463-71,177-200,471-568,871-1,210,009-3,408,007-21,851,339-371,472,763

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