Q: What are the factor combinations of the number 724,042,267?

 A:
Positive:   1 x 72404226713 x 5569555967 x 10806601277 x 2613871871 x 8312773001 x 2412673601 x 20106718559 x 39013
Negative: -1 x -724042267-13 x -55695559-67 x -10806601-277 x -2613871-871 x -831277-3001 x -241267-3601 x -201067-18559 x -39013


How do I find the factor combinations of the number 724,042,267?

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 724,042,267, 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.

1 724,042,267
-1 -724,042,267

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 724,042,267.

Example:
1 x 724,042,267 = 724,042,267
and
-1 x -724,042,267 = 724,042,267
Notice both answers equal 724,042,267

With that explanation out of the way, let's continue. Next, we take the number 724,042,267 and divide it by 2:

724,042,267 ÷ 2 = 362,021,133.5

If the quotient is a whole number, then 2 and 362,021,133.5 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:

1 724,042,267
-1 -724,042,267

Now, we try dividing 724,042,267 by 3:

724,042,267 ÷ 3 = 241,347,422.3333

If the quotient is a whole number, then 3 and 241,347,422.3333 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:

1 724,042,267
-1 -724,042,267

Let's try dividing by 4:

724,042,267 ÷ 4 = 181,010,566.75

If the quotient is a whole number, then 4 and 181,010,566.75 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:

1 724,042,267
-1 724,042,267
Keep dividing by the next highest number until you cannot divide anymore.

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

113672778713,0013,60118,55939,013201,067241,267831,2772,613,87110,806,60155,695,559724,042,267
-1-13-67-277-871-3,001-3,601-18,559-39,013-201,067-241,267-831,277-2,613,871-10,806,601-55,695,559-724,042,267

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