Q: What are the factor combinations of the number 732,500,369?

 A:
Positive:   1 x 73250036917 x 4308825719 x 38552651323 x 2267803359 x 20403916103 x 1200236317 x 1159576821 x 107389
Negative: -1 x -732500369-17 x -43088257-19 x -38552651-323 x -2267803-359 x -2040391-6103 x -120023-6317 x -115957-6821 x -107389


How do I find the factor combinations of the number 732,500,369?

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 732,500,369, 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.

1 732,500,369
-1 -732,500,369

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 732,500,369.

Example:
1 x 732,500,369 = 732,500,369
and
-1 x -732,500,369 = 732,500,369
Notice both answers equal 732,500,369

With that explanation out of the way, let's continue. Next, we take the number 732,500,369 and divide it by 2:

732,500,369 ÷ 2 = 366,250,184.5

If the quotient is a whole number, then 2 and 366,250,184.5 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:

1 732,500,369
-1 -732,500,369

Now, we try dividing 732,500,369 by 3:

732,500,369 ÷ 3 = 244,166,789.6667

If the quotient is a whole number, then 3 and 244,166,789.6667 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:

1 732,500,369
-1 -732,500,369

Let's try dividing by 4:

732,500,369 ÷ 4 = 183,125,092.25

If the quotient is a whole number, then 4 and 183,125,092.25 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:

1 732,500,369
-1 732,500,369
Keep dividing by the next highest number until you cannot divide anymore.

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

117193233596,1036,3176,821107,389115,957120,0232,040,3912,267,80338,552,65143,088,257732,500,369
-1-17-19-323-359-6,103-6,317-6,821-107,389-115,957-120,023-2,040,391-2,267,803-38,552,651-43,088,257-732,500,369

More Examples

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