Q: What are the factor combinations of the number 732,704,807?

 A:
Positive:   1 x 73270480729 x 2526568353 x 13824619293 x 25006991537 x 4767111627 x 4503418497 x 8623115529 x 47183
Negative: -1 x -732704807-29 x -25265683-53 x -13824619-293 x -2500699-1537 x -476711-1627 x -450341-8497 x -86231-15529 x -47183


How do I find the factor combinations of the number 732,704,807?

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 732,704,807, 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.

1 732,704,807
-1 -732,704,807

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 732,704,807.

Example:
1 x 732,704,807 = 732,704,807
and
-1 x -732,704,807 = 732,704,807
Notice both answers equal 732,704,807

With that explanation out of the way, let's continue. Next, we take the number 732,704,807 and divide it by 2:

732,704,807 ÷ 2 = 366,352,403.5

If the quotient is a whole number, then 2 and 366,352,403.5 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:

1 732,704,807
-1 -732,704,807

Now, we try dividing 732,704,807 by 3:

732,704,807 ÷ 3 = 244,234,935.6667

If the quotient is a whole number, then 3 and 244,234,935.6667 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:

1 732,704,807
-1 -732,704,807

Let's try dividing by 4:

732,704,807 ÷ 4 = 183,176,201.75

If the quotient is a whole number, then 4 and 183,176,201.75 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:

1 732,704,807
-1 732,704,807
Keep dividing by the next highest number until you cannot divide anymore.

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

129532931,5371,6278,49715,52947,18386,231450,341476,7112,500,69913,824,61925,265,683732,704,807
-1-29-53-293-1,537-1,627-8,497-15,529-47,183-86,231-450,341-476,711-2,500,699-13,824,619-25,265,683-732,704,807

More Examples

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