Q: What are the factor combinations of the number 87,575,551?

 A:
Positive:   1 x 875755517 x 1251079317 x 5151503119 x 735929373 x 2347871973 x 443872611 x 335416341 x 13811
Negative: -1 x -87575551-7 x -12510793-17 x -5151503-119 x -735929-373 x -234787-1973 x -44387-2611 x -33541-6341 x -13811


How do I find the factor combinations of the number 87,575,551?

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 87,575,551, 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 87,575,551
-1 -87,575,551

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 87,575,551.

Example:
1 x 87,575,551 = 87,575,551
and
-1 x -87,575,551 = 87,575,551
Notice both answers equal 87,575,551

With that explanation out of the way, let's continue. Next, we take the number 87,575,551 and divide it by 2:

87,575,551 ÷ 2 = 43,787,775.5

If the quotient is a whole number, then 2 and 43,787,775.5 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 87,575,551
-1 -87,575,551

Now, we try dividing 87,575,551 by 3:

87,575,551 ÷ 3 = 29,191,850.3333

If the quotient is a whole number, then 3 and 29,191,850.3333 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 87,575,551
-1 -87,575,551

Let's try dividing by 4:

87,575,551 ÷ 4 = 21,893,887.75

If the quotient is a whole number, then 4 and 21,893,887.75 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 87,575,551
-1 87,575,551
Keep dividing by the next highest number until you cannot divide anymore.

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

17171193731,9732,6116,34113,81133,54144,387234,787735,9295,151,50312,510,79387,575,551
-1-7-17-119-373-1,973-2,611-6,341-13,811-33,541-44,387-234,787-735,929-5,151,503-12,510,793-87,575,551

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