Q: What are the factor combinations of the number 722,780,387?

 A:
Positive:   1 x 7227803877 x 10325434119 x 38041073133 x 54344391583 x 4565893433 x 21053911081 x 6522724031 x 30077
Negative: -1 x -722780387-7 x -103254341-19 x -38041073-133 x -5434439-1583 x -456589-3433 x -210539-11081 x -65227-24031 x -30077


How do I find the factor combinations of the number 722,780,387?

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 722,780,387, 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.

1 722,780,387
-1 -722,780,387

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 722,780,387.

Example:
1 x 722,780,387 = 722,780,387
and
-1 x -722,780,387 = 722,780,387
Notice both answers equal 722,780,387

With that explanation out of the way, let's continue. Next, we take the number 722,780,387 and divide it by 2:

722,780,387 ÷ 2 = 361,390,193.5

If the quotient is a whole number, then 2 and 361,390,193.5 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:

1 722,780,387
-1 -722,780,387

Now, we try dividing 722,780,387 by 3:

722,780,387 ÷ 3 = 240,926,795.6667

If the quotient is a whole number, then 3 and 240,926,795.6667 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:

1 722,780,387
-1 -722,780,387

Let's try dividing by 4:

722,780,387 ÷ 4 = 180,695,096.75

If the quotient is a whole number, then 4 and 180,695,096.75 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:

1 722,780,387
-1 722,780,387
Keep dividing by the next highest number until you cannot divide anymore.

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

17191331,5833,43311,08124,03130,07765,227210,539456,5895,434,43938,041,073103,254,341722,780,387
-1-7-19-133-1,583-3,433-11,081-24,031-30,077-65,227-210,539-456,589-5,434,439-38,041,073-103,254,341-722,780,387

More Examples

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