Q: What are the factor combinations of the number 160,741,603?

 A:
Positive:   1 x 16074160311 x 1461287331 x 5185213121 x 1328443341 x 4713833751 x 42853
Negative: -1 x -160741603-11 x -14612873-31 x -5185213-121 x -1328443-341 x -471383-3751 x -42853


How do I find the factor combinations of the number 160,741,603?

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 160,741,603, 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.

1 160,741,603
-1 -160,741,603

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 160,741,603.

Example:
1 x 160,741,603 = 160,741,603
and
-1 x -160,741,603 = 160,741,603
Notice both answers equal 160,741,603

With that explanation out of the way, let's continue. Next, we take the number 160,741,603 and divide it by 2:

160,741,603 ÷ 2 = 80,370,801.5

If the quotient is a whole number, then 2 and 80,370,801.5 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:

1 160,741,603
-1 -160,741,603

Now, we try dividing 160,741,603 by 3:

160,741,603 ÷ 3 = 53,580,534.3333

If the quotient is a whole number, then 3 and 53,580,534.3333 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:

1 160,741,603
-1 -160,741,603

Let's try dividing by 4:

160,741,603 ÷ 4 = 40,185,400.75

If the quotient is a whole number, then 4 and 40,185,400.75 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:

1 160,741,603
-1 160,741,603
Keep dividing by the next highest number until you cannot divide anymore.

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

111311213413,75142,853471,3831,328,4435,185,21314,612,873160,741,603
-1-11-31-121-341-3,751-42,853-471,383-1,328,443-5,185,213-14,612,873-160,741,603

More Examples

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