Q: What are the factor combinations of the number 160,651,499?

 A:
Positive:   1 x 16065149947 x 3418117
Negative: -1 x -160651499-47 x -3418117


How do I find the factor combinations of the number 160,651,499?

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 160,651,499, 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.

1 160,651,499
-1 -160,651,499

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 160,651,499.

Example:
1 x 160,651,499 = 160,651,499
and
-1 x -160,651,499 = 160,651,499
Notice both answers equal 160,651,499

With that explanation out of the way, let's continue. Next, we take the number 160,651,499 and divide it by 2:

160,651,499 ÷ 2 = 80,325,749.5

If the quotient is a whole number, then 2 and 80,325,749.5 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:

1 160,651,499
-1 -160,651,499

Now, we try dividing 160,651,499 by 3:

160,651,499 ÷ 3 = 53,550,499.6667

If the quotient is a whole number, then 3 and 53,550,499.6667 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:

1 160,651,499
-1 -160,651,499

Let's try dividing by 4:

160,651,499 ÷ 4 = 40,162,874.75

If the quotient is a whole number, then 4 and 40,162,874.75 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:

1 160,651,499
-1 160,651,499
Keep dividing by the next highest number until you cannot divide anymore.

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

1473,418,117160,651,499
-1-47-3,418,117-160,651,499

More Examples

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