Q: What are the factor combinations of the number 35,716,715?

 A:
Positive:   1 x 357167155 x 7143343157 x 227495173 x 206455263 x 135805785 x 45499865 x 412911315 x 27161
Negative: -1 x -35716715-5 x -7143343-157 x -227495-173 x -206455-263 x -135805-785 x -45499-865 x -41291-1315 x -27161


How do I find the factor combinations of the number 35,716,715?

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 35,716,715, 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 35,716,715
-1 -35,716,715

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 35,716,715.

Example:
1 x 35,716,715 = 35,716,715
and
-1 x -35,716,715 = 35,716,715
Notice both answers equal 35,716,715

With that explanation out of the way, let's continue. Next, we take the number 35,716,715 and divide it by 2:

35,716,715 ÷ 2 = 17,858,357.5

If the quotient is a whole number, then 2 and 17,858,357.5 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 35,716,715
-1 -35,716,715

Now, we try dividing 35,716,715 by 3:

35,716,715 ÷ 3 = 11,905,571.6667

If the quotient is a whole number, then 3 and 11,905,571.6667 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 35,716,715
-1 -35,716,715

Let's try dividing by 4:

35,716,715 ÷ 4 = 8,929,178.75

If the quotient is a whole number, then 4 and 8,929,178.75 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 35,716,715
-1 35,716,715
Keep dividing by the next highest number until you cannot divide anymore.

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

151571732637858651,31527,16141,29145,499135,805206,455227,4957,143,34335,716,715
-1-5-157-173-263-785-865-1,315-27,161-41,291-45,499-135,805-206,455-227,495-7,143,343-35,716,715

More Examples

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