Q: What are the factor combinations of the number 160,031,305?

 A:
Positive:   1 x 1600313055 x 320062617 x 2286161535 x 457232349 x 326594559 x 2712395245 x 653189295 x 542479413 x 3874852065 x 774972891 x 5535511071 x 14455
Negative: -1 x -160031305-5 x -32006261-7 x -22861615-35 x -4572323-49 x -3265945-59 x -2712395-245 x -653189-295 x -542479-413 x -387485-2065 x -77497-2891 x -55355-11071 x -14455


How do I find the factor combinations of the number 160,031,305?

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 160,031,305, 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.

1 160,031,305
-1 -160,031,305

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 160,031,305.

Example:
1 x 160,031,305 = 160,031,305
and
-1 x -160,031,305 = 160,031,305
Notice both answers equal 160,031,305

With that explanation out of the way, let's continue. Next, we take the number 160,031,305 and divide it by 2:

160,031,305 ÷ 2 = 80,015,652.5

If the quotient is a whole number, then 2 and 80,015,652.5 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:

1 160,031,305
-1 -160,031,305

Now, we try dividing 160,031,305 by 3:

160,031,305 ÷ 3 = 53,343,768.3333

If the quotient is a whole number, then 3 and 53,343,768.3333 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:

1 160,031,305
-1 -160,031,305

Let's try dividing by 4:

160,031,305 ÷ 4 = 40,007,826.25

If the quotient is a whole number, then 4 and 40,007,826.25 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:

1 160,031,305
-1 160,031,305
Keep dividing by the next highest number until you cannot divide anymore.

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

1573549592452954132,0652,89111,07114,45555,35577,497387,485542,479653,1892,712,3953,265,9454,572,32322,861,61532,006,261160,031,305
-1-5-7-35-49-59-245-295-413-2,065-2,891-11,071-14,455-55,355-77,497-387,485-542,479-653,189-2,712,395-3,265,945-4,572,323-22,861,615-32,006,261-160,031,305

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