Q: What are the factor combinations of the number 160,404,535?

 A:
Positive:   1 x 1604045355 x 3208090797 x 1653655485 x 330731
Negative: -1 x -160404535-5 x -32080907-97 x -1653655-485 x -330731


How do I find the factor combinations of the number 160,404,535?

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 160,404,535, 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.

1 160,404,535
-1 -160,404,535

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 160,404,535.

Example:
1 x 160,404,535 = 160,404,535
and
-1 x -160,404,535 = 160,404,535
Notice both answers equal 160,404,535

With that explanation out of the way, let's continue. Next, we take the number 160,404,535 and divide it by 2:

160,404,535 ÷ 2 = 80,202,267.5

If the quotient is a whole number, then 2 and 80,202,267.5 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:

1 160,404,535
-1 -160,404,535

Now, we try dividing 160,404,535 by 3:

160,404,535 ÷ 3 = 53,468,178.3333

If the quotient is a whole number, then 3 and 53,468,178.3333 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:

1 160,404,535
-1 -160,404,535

Let's try dividing by 4:

160,404,535 ÷ 4 = 40,101,133.75

If the quotient is a whole number, then 4 and 40,101,133.75 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:

1 160,404,535
-1 160,404,535
Keep dividing by the next highest number until you cannot divide anymore.

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

1597485330,7311,653,65532,080,907160,404,535
-1-5-97-485-330,731-1,653,655-32,080,907-160,404,535

More Examples

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