Q: What are the factor combinations of the number 160,012,375?

 A:
Positive:   1 x 1600123755 x 3200247525 x 6400495125 x 1280099449 x 3563752245 x 712752851 x 5612511225 x 14255
Negative: -1 x -160012375-5 x -32002475-25 x -6400495-125 x -1280099-449 x -356375-2245 x -71275-2851 x -56125-11225 x -14255


How do I find the factor combinations of the number 160,012,375?

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 160,012,375, 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.

1 160,012,375
-1 -160,012,375

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 160,012,375.

Example:
1 x 160,012,375 = 160,012,375
and
-1 x -160,012,375 = 160,012,375
Notice both answers equal 160,012,375

With that explanation out of the way, let's continue. Next, we take the number 160,012,375 and divide it by 2:

160,012,375 ÷ 2 = 80,006,187.5

If the quotient is a whole number, then 2 and 80,006,187.5 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:

1 160,012,375
-1 -160,012,375

Now, we try dividing 160,012,375 by 3:

160,012,375 ÷ 3 = 53,337,458.3333

If the quotient is a whole number, then 3 and 53,337,458.3333 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:

1 160,012,375
-1 -160,012,375

Let's try dividing by 4:

160,012,375 ÷ 4 = 40,003,093.75

If the quotient is a whole number, then 4 and 40,003,093.75 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:

1 160,012,375
-1 160,012,375
Keep dividing by the next highest number until you cannot divide anymore.

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

15251254492,2452,85111,22514,25556,12571,275356,3751,280,0996,400,49532,002,475160,012,375
-1-5-25-125-449-2,245-2,851-11,225-14,255-56,125-71,275-356,375-1,280,099-6,400,495-32,002,475-160,012,375

More Examples

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