Q: What are the factor combinations of the number 742,311,545?

 A:
Positive:   1 x 7423115455 x 14846230917 x 4366538523 x 3227441585 x 8733077115 x 6454883391 x 18984951955 x 379699
Negative: -1 x -742311545-5 x -148462309-17 x -43665385-23 x -32274415-85 x -8733077-115 x -6454883-391 x -1898495-1955 x -379699


How do I find the factor combinations of the number 742,311,545?

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 742,311,545, 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.

1 742,311,545
-1 -742,311,545

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 742,311,545.

Example:
1 x 742,311,545 = 742,311,545
and
-1 x -742,311,545 = 742,311,545
Notice both answers equal 742,311,545

With that explanation out of the way, let's continue. Next, we take the number 742,311,545 and divide it by 2:

742,311,545 ÷ 2 = 371,155,772.5

If the quotient is a whole number, then 2 and 371,155,772.5 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:

1 742,311,545
-1 -742,311,545

Now, we try dividing 742,311,545 by 3:

742,311,545 ÷ 3 = 247,437,181.6667

If the quotient is a whole number, then 3 and 247,437,181.6667 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:

1 742,311,545
-1 -742,311,545

Let's try dividing by 4:

742,311,545 ÷ 4 = 185,577,886.25

If the quotient is a whole number, then 4 and 185,577,886.25 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:

1 742,311,545
-1 742,311,545
Keep dividing by the next highest number until you cannot divide anymore.

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

151723851153911,955379,6991,898,4956,454,8838,733,07732,274,41543,665,385148,462,309742,311,545
-1-5-17-23-85-115-391-1,955-379,699-1,898,495-6,454,883-8,733,077-32,274,415-43,665,385-148,462,309-742,311,545

More Examples

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