Q: What are the factor combinations of the number 165,430,043?

 A:
Positive:   1 x 16543004317 x 973117931 x 5336453527 x 313909
Negative: -1 x -165430043-17 x -9731179-31 x -5336453-527 x -313909


How do I find the factor combinations of the number 165,430,043?

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 165,430,043, 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.

1 165,430,043
-1 -165,430,043

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 165,430,043.

Example:
1 x 165,430,043 = 165,430,043
and
-1 x -165,430,043 = 165,430,043
Notice both answers equal 165,430,043

With that explanation out of the way, let's continue. Next, we take the number 165,430,043 and divide it by 2:

165,430,043 ÷ 2 = 82,715,021.5

If the quotient is a whole number, then 2 and 82,715,021.5 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:

1 165,430,043
-1 -165,430,043

Now, we try dividing 165,430,043 by 3:

165,430,043 ÷ 3 = 55,143,347.6667

If the quotient is a whole number, then 3 and 55,143,347.6667 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:

1 165,430,043
-1 -165,430,043

Let's try dividing by 4:

165,430,043 ÷ 4 = 41,357,510.75

If the quotient is a whole number, then 4 and 41,357,510.75 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:

1 165,430,043
-1 165,430,043
Keep dividing by the next highest number until you cannot divide anymore.

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

11731527313,9095,336,4539,731,179165,430,043
-1-17-31-527-313,909-5,336,453-9,731,179-165,430,043

More Examples

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