Q: What are the factor combinations of the number 316,775,701?

 A:
Positive:   1 x 31677570111 x 2879779131 x 1021857179 x 4009819121 x 2617981341 x 928961869 x 3645291069 x 2963292449 x 1293493751 x 844519559 x 3313911759 x 26939
Negative: -1 x -316775701-11 x -28797791-31 x -10218571-79 x -4009819-121 x -2617981-341 x -928961-869 x -364529-1069 x -296329-2449 x -129349-3751 x -84451-9559 x -33139-11759 x -26939


How do I find the factor combinations of the number 316,775,701?

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 316,775,701, 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.

1 316,775,701
-1 -316,775,701

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 316,775,701.

Example:
1 x 316,775,701 = 316,775,701
and
-1 x -316,775,701 = 316,775,701
Notice both answers equal 316,775,701

With that explanation out of the way, let's continue. Next, we take the number 316,775,701 and divide it by 2:

316,775,701 ÷ 2 = 158,387,850.5

If the quotient is a whole number, then 2 and 158,387,850.5 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:

1 316,775,701
-1 -316,775,701

Now, we try dividing 316,775,701 by 3:

316,775,701 ÷ 3 = 105,591,900.3333

If the quotient is a whole number, then 3 and 105,591,900.3333 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:

1 316,775,701
-1 -316,775,701

Let's try dividing by 4:

316,775,701 ÷ 4 = 79,193,925.25

If the quotient is a whole number, then 4 and 79,193,925.25 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:

1 316,775,701
-1 316,775,701
Keep dividing by the next highest number until you cannot divide anymore.

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

11131791213418691,0692,4493,7519,55911,75926,93933,13984,451129,349296,329364,529928,9612,617,9814,009,81910,218,57128,797,791316,775,701
-1-11-31-79-121-341-869-1,069-2,449-3,751-9,559-11,759-26,939-33,139-84,451-129,349-296,329-364,529-928,961-2,617,981-4,009,819-10,218,571-28,797,791-316,775,701

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 316,775,701:


Ask a Question