Q: What are the factor combinations of the number 165,304,615?

 A:
Positive:   1 x 1653046155 x 330609237 x 2361494535 x 472298953 x 3118955265 x 623791371 x 4455651855 x 89113
Negative: -1 x -165304615-5 x -33060923-7 x -23614945-35 x -4722989-53 x -3118955-265 x -623791-371 x -445565-1855 x -89113


How do I find the factor combinations of the number 165,304,615?

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 165,304,615, 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.

1 165,304,615
-1 -165,304,615

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 165,304,615.

Example:
1 x 165,304,615 = 165,304,615
and
-1 x -165,304,615 = 165,304,615
Notice both answers equal 165,304,615

With that explanation out of the way, let's continue. Next, we take the number 165,304,615 and divide it by 2:

165,304,615 ÷ 2 = 82,652,307.5

If the quotient is a whole number, then 2 and 82,652,307.5 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:

1 165,304,615
-1 -165,304,615

Now, we try dividing 165,304,615 by 3:

165,304,615 ÷ 3 = 55,101,538.3333

If the quotient is a whole number, then 3 and 55,101,538.3333 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:

1 165,304,615
-1 -165,304,615

Let's try dividing by 4:

165,304,615 ÷ 4 = 41,326,153.75

If the quotient is a whole number, then 4 and 41,326,153.75 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:

1 165,304,615
-1 165,304,615
Keep dividing by the next highest number until you cannot divide anymore.

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

15735532653711,85589,113445,565623,7913,118,9554,722,98923,614,94533,060,923165,304,615
-1-5-7-35-53-265-371-1,855-89,113-445,565-623,791-3,118,955-4,722,989-23,614,945-33,060,923-165,304,615

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