Q: What are the factor combinations of the number 160,023,443?

 A:
Positive:   1 x 16002344323 x 6957541131 x 1221553173 x 924991307 x 5212493013 x 531113979 x 402177061 x 22663
Negative: -1 x -160023443-23 x -6957541-131 x -1221553-173 x -924991-307 x -521249-3013 x -53111-3979 x -40217-7061 x -22663


How do I find the factor combinations of the number 160,023,443?

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 160,023,443, 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.

1 160,023,443
-1 -160,023,443

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 160,023,443.

Example:
1 x 160,023,443 = 160,023,443
and
-1 x -160,023,443 = 160,023,443
Notice both answers equal 160,023,443

With that explanation out of the way, let's continue. Next, we take the number 160,023,443 and divide it by 2:

160,023,443 ÷ 2 = 80,011,721.5

If the quotient is a whole number, then 2 and 80,011,721.5 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:

1 160,023,443
-1 -160,023,443

Now, we try dividing 160,023,443 by 3:

160,023,443 ÷ 3 = 53,341,147.6667

If the quotient is a whole number, then 3 and 53,341,147.6667 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:

1 160,023,443
-1 -160,023,443

Let's try dividing by 4:

160,023,443 ÷ 4 = 40,005,860.75

If the quotient is a whole number, then 4 and 40,005,860.75 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:

1 160,023,443
-1 160,023,443
Keep dividing by the next highest number until you cannot divide anymore.

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

1231311733073,0133,9797,06122,66340,21753,111521,249924,9911,221,5536,957,541160,023,443
-1-23-131-173-307-3,013-3,979-7,061-22,663-40,217-53,111-521,249-924,991-1,221,553-6,957,541-160,023,443

More Examples

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