Q: What are the factor combinations of the number 160,156,643?

 A:
Positive:   1 x 16015664317 x 942097919 x 8429297109 x 1469327323 x 4958411853 x 864312071 x 773334549 x 35207
Negative: -1 x -160156643-17 x -9420979-19 x -8429297-109 x -1469327-323 x -495841-1853 x -86431-2071 x -77333-4549 x -35207


How do I find the factor combinations of the number 160,156,643?

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 160,156,643, 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.

1 160,156,643
-1 -160,156,643

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 160,156,643.

Example:
1 x 160,156,643 = 160,156,643
and
-1 x -160,156,643 = 160,156,643
Notice both answers equal 160,156,643

With that explanation out of the way, let's continue. Next, we take the number 160,156,643 and divide it by 2:

160,156,643 ÷ 2 = 80,078,321.5

If the quotient is a whole number, then 2 and 80,078,321.5 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:

1 160,156,643
-1 -160,156,643

Now, we try dividing 160,156,643 by 3:

160,156,643 ÷ 3 = 53,385,547.6667

If the quotient is a whole number, then 3 and 53,385,547.6667 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:

1 160,156,643
-1 -160,156,643

Let's try dividing by 4:

160,156,643 ÷ 4 = 40,039,160.75

If the quotient is a whole number, then 4 and 40,039,160.75 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:

1 160,156,643
-1 160,156,643
Keep dividing by the next highest number until you cannot divide anymore.

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

117191093231,8532,0714,54935,20777,33386,431495,8411,469,3278,429,2979,420,979160,156,643
-1-17-19-109-323-1,853-2,071-4,549-35,207-77,333-86,431-495,841-1,469,327-8,429,297-9,420,979-160,156,643

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