Q: What are the factor combinations of the number 160,030,607?

 A:
Positive:   1 x 16003060711 x 14548237121 x 1322567181 x 8841471991 x 803777307 x 21901
Negative: -1 x -160030607-11 x -14548237-121 x -1322567-181 x -884147-1991 x -80377-7307 x -21901


How do I find the factor combinations of the number 160,030,607?

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 160,030,607, 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.

1 160,030,607
-1 -160,030,607

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 160,030,607.

Example:
1 x 160,030,607 = 160,030,607
and
-1 x -160,030,607 = 160,030,607
Notice both answers equal 160,030,607

With that explanation out of the way, let's continue. Next, we take the number 160,030,607 and divide it by 2:

160,030,607 ÷ 2 = 80,015,303.5

If the quotient is a whole number, then 2 and 80,015,303.5 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:

1 160,030,607
-1 -160,030,607

Now, we try dividing 160,030,607 by 3:

160,030,607 ÷ 3 = 53,343,535.6667

If the quotient is a whole number, then 3 and 53,343,535.6667 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:

1 160,030,607
-1 -160,030,607

Let's try dividing by 4:

160,030,607 ÷ 4 = 40,007,651.75

If the quotient is a whole number, then 4 and 40,007,651.75 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:

1 160,030,607
-1 160,030,607
Keep dividing by the next highest number until you cannot divide anymore.

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

1111211811,9917,30721,90180,377884,1471,322,56714,548,237160,030,607
-1-11-121-181-1,991-7,307-21,901-80,377-884,147-1,322,567-14,548,237-160,030,607

More Examples

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