Q: What are the factor combinations of the number 855,716,645?

 A:
Positive:   1 x 8557166455 x 1711433297 x 12224523535 x 2444904749 x 17463605193 x 4433765245 x 3492721965 x 8867531351 x 6333956755 x 1266799457 x 9048518097 x 47285
Negative: -1 x -855716645-5 x -171143329-7 x -122245235-35 x -24449047-49 x -17463605-193 x -4433765-245 x -3492721-965 x -886753-1351 x -633395-6755 x -126679-9457 x -90485-18097 x -47285


How do I find the factor combinations of the number 855,716,645?

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 855,716,645, 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.

1 855,716,645
-1 -855,716,645

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 855,716,645.

Example:
1 x 855,716,645 = 855,716,645
and
-1 x -855,716,645 = 855,716,645
Notice both answers equal 855,716,645

With that explanation out of the way, let's continue. Next, we take the number 855,716,645 and divide it by 2:

855,716,645 ÷ 2 = 427,858,322.5

If the quotient is a whole number, then 2 and 427,858,322.5 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:

1 855,716,645
-1 -855,716,645

Now, we try dividing 855,716,645 by 3:

855,716,645 ÷ 3 = 285,238,881.6667

If the quotient is a whole number, then 3 and 285,238,881.6667 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:

1 855,716,645
-1 -855,716,645

Let's try dividing by 4:

855,716,645 ÷ 4 = 213,929,161.25

If the quotient is a whole number, then 4 and 213,929,161.25 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:

1 855,716,645
-1 855,716,645
Keep dividing by the next highest number until you cannot divide anymore.

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

15735491932459651,3516,7559,45718,09747,28590,485126,679633,395886,7533,492,7214,433,76517,463,60524,449,047122,245,235171,143,329855,716,645
-1-5-7-35-49-193-245-965-1,351-6,755-9,457-18,097-47,285-90,485-126,679-633,395-886,753-3,492,721-4,433,765-17,463,605-24,449,047-122,245,235-171,143,329-855,716,645

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