Q: What are the factor combinations of the number 156,422,885?

 A:
Positive:   1 x 1564228855 x 3128457723 x 6800995115 x 1360199653 x 2395452083 x 750953265 x 4790910415 x 15019
Negative: -1 x -156422885-5 x -31284577-23 x -6800995-115 x -1360199-653 x -239545-2083 x -75095-3265 x -47909-10415 x -15019


How do I find the factor combinations of the number 156,422,885?

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 156,422,885, 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.

1 156,422,885
-1 -156,422,885

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 156,422,885.

Example:
1 x 156,422,885 = 156,422,885
and
-1 x -156,422,885 = 156,422,885
Notice both answers equal 156,422,885

With that explanation out of the way, let's continue. Next, we take the number 156,422,885 and divide it by 2:

156,422,885 ÷ 2 = 78,211,442.5

If the quotient is a whole number, then 2 and 78,211,442.5 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:

1 156,422,885
-1 -156,422,885

Now, we try dividing 156,422,885 by 3:

156,422,885 ÷ 3 = 52,140,961.6667

If the quotient is a whole number, then 3 and 52,140,961.6667 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:

1 156,422,885
-1 -156,422,885

Let's try dividing by 4:

156,422,885 ÷ 4 = 39,105,721.25

If the quotient is a whole number, then 4 and 39,105,721.25 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:

1 156,422,885
-1 156,422,885
Keep dividing by the next highest number until you cannot divide anymore.

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

15231156532,0833,26510,41515,01947,90975,095239,5451,360,1996,800,99531,284,577156,422,885
-1-5-23-115-653-2,083-3,265-10,415-15,019-47,909-75,095-239,545-1,360,199-6,800,995-31,284,577-156,422,885

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