Q: What are the factor combinations of the number 746,731,765?

 A:
Positive:   1 x 7467317655 x 14934635313 x 5744090543 x 1736585565 x 11488181215 x 3473171559 x 13358352795 x 267167
Negative: -1 x -746731765-5 x -149346353-13 x -57440905-43 x -17365855-65 x -11488181-215 x -3473171-559 x -1335835-2795 x -267167


How do I find the factor combinations of the number 746,731,765?

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 746,731,765, 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.

1 746,731,765
-1 -746,731,765

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 746,731,765.

Example:
1 x 746,731,765 = 746,731,765
and
-1 x -746,731,765 = 746,731,765
Notice both answers equal 746,731,765

With that explanation out of the way, let's continue. Next, we take the number 746,731,765 and divide it by 2:

746,731,765 ÷ 2 = 373,365,882.5

If the quotient is a whole number, then 2 and 373,365,882.5 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:

1 746,731,765
-1 -746,731,765

Now, we try dividing 746,731,765 by 3:

746,731,765 ÷ 3 = 248,910,588.3333

If the quotient is a whole number, then 3 and 248,910,588.3333 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:

1 746,731,765
-1 -746,731,765

Let's try dividing by 4:

746,731,765 ÷ 4 = 186,682,941.25

If the quotient is a whole number, then 4 and 186,682,941.25 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:

1 746,731,765
-1 746,731,765
Keep dividing by the next highest number until you cannot divide anymore.

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

151343652155592,795267,1671,335,8353,473,17111,488,18117,365,85557,440,905149,346,353746,731,765
-1-5-13-43-65-215-559-2,795-267,167-1,335,835-3,473,171-11,488,181-17,365,855-57,440,905-149,346,353-746,731,765

More Examples

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