Q: What are the factor combinations of the number 160,532,387?

 A:
Positive:   1 x 16053238719 x 844907323 x 6979669211 x 760817437 x 3673511741 x 922074009 x 400434853 x 33079
Negative: -1 x -160532387-19 x -8449073-23 x -6979669-211 x -760817-437 x -367351-1741 x -92207-4009 x -40043-4853 x -33079


How do I find the factor combinations of the number 160,532,387?

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 160,532,387, 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.

1 160,532,387
-1 -160,532,387

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 160,532,387.

Example:
1 x 160,532,387 = 160,532,387
and
-1 x -160,532,387 = 160,532,387
Notice both answers equal 160,532,387

With that explanation out of the way, let's continue. Next, we take the number 160,532,387 and divide it by 2:

160,532,387 ÷ 2 = 80,266,193.5

If the quotient is a whole number, then 2 and 80,266,193.5 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:

1 160,532,387
-1 -160,532,387

Now, we try dividing 160,532,387 by 3:

160,532,387 ÷ 3 = 53,510,795.6667

If the quotient is a whole number, then 3 and 53,510,795.6667 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:

1 160,532,387
-1 -160,532,387

Let's try dividing by 4:

160,532,387 ÷ 4 = 40,133,096.75

If the quotient is a whole number, then 4 and 40,133,096.75 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:

1 160,532,387
-1 160,532,387
Keep dividing by the next highest number until you cannot divide anymore.

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

119232114371,7414,0094,85333,07940,04392,207367,351760,8176,979,6698,449,073160,532,387
-1-19-23-211-437-1,741-4,009-4,853-33,079-40,043-92,207-367,351-760,817-6,979,669-8,449,073-160,532,387

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