Q: What are the factor combinations of the number 87,037,159?

 A:
Positive:   1 x 8703715911 x 79124691879 x 463214211 x 20669
Negative: -1 x -87037159-11 x -7912469-1879 x -46321-4211 x -20669


How do I find the factor combinations of the number 87,037,159?

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 87,037,159, 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 87,037,159
-1 -87,037,159

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 87,037,159.

Example:
1 x 87,037,159 = 87,037,159
and
-1 x -87,037,159 = 87,037,159
Notice both answers equal 87,037,159

With that explanation out of the way, let's continue. Next, we take the number 87,037,159 and divide it by 2:

87,037,159 ÷ 2 = 43,518,579.5

If the quotient is a whole number, then 2 and 43,518,579.5 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 87,037,159
-1 -87,037,159

Now, we try dividing 87,037,159 by 3:

87,037,159 ÷ 3 = 29,012,386.3333

If the quotient is a whole number, then 3 and 29,012,386.3333 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 87,037,159
-1 -87,037,159

Let's try dividing by 4:

87,037,159 ÷ 4 = 21,759,289.75

If the quotient is a whole number, then 4 and 21,759,289.75 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 87,037,159
-1 87,037,159
Keep dividing by the next highest number until you cannot divide anymore.

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

1111,8794,21120,66946,3217,912,46987,037,159
-1-11-1,879-4,211-20,669-46,321-7,912,469-87,037,159

More Examples

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