Q: What are the factor combinations of the number 160,010,653?

 A:
Positive:   1 x 16001065311 x 14546423149 x 1073897233 x 686741419 x 3818871639 x 976272563 x 624314609 x 34717
Negative: -1 x -160010653-11 x -14546423-149 x -1073897-233 x -686741-419 x -381887-1639 x -97627-2563 x -62431-4609 x -34717


How do I find the factor combinations of the number 160,010,653?

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 160,010,653, 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.

1 160,010,653
-1 -160,010,653

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 160,010,653.

Example:
1 x 160,010,653 = 160,010,653
and
-1 x -160,010,653 = 160,010,653
Notice both answers equal 160,010,653

With that explanation out of the way, let's continue. Next, we take the number 160,010,653 and divide it by 2:

160,010,653 ÷ 2 = 80,005,326.5

If the quotient is a whole number, then 2 and 80,005,326.5 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:

1 160,010,653
-1 -160,010,653

Now, we try dividing 160,010,653 by 3:

160,010,653 ÷ 3 = 53,336,884.3333

If the quotient is a whole number, then 3 and 53,336,884.3333 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:

1 160,010,653
-1 -160,010,653

Let's try dividing by 4:

160,010,653 ÷ 4 = 40,002,663.25

If the quotient is a whole number, then 4 and 40,002,663.25 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:

1 160,010,653
-1 160,010,653
Keep dividing by the next highest number until you cannot divide anymore.

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

1111492334191,6392,5634,60934,71762,43197,627381,887686,7411,073,89714,546,423160,010,653
-1-11-149-233-419-1,639-2,563-4,609-34,717-62,431-97,627-381,887-686,741-1,073,897-14,546,423-160,010,653

More Examples

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