Q: What are the factor combinations of the number 32,977,615?

 A:
Positive:   1 x 329776155 x 659552311 x 299796555 x 59959389 x 370535445 x 74107979 x 336854895 x 6737
Negative: -1 x -32977615-5 x -6595523-11 x -2997965-55 x -599593-89 x -370535-445 x -74107-979 x -33685-4895 x -6737


How do I find the factor combinations of the number 32,977,615?

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 32,977,615, 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 32,977,615
-1 -32,977,615

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 32,977,615.

Example:
1 x 32,977,615 = 32,977,615
and
-1 x -32,977,615 = 32,977,615
Notice both answers equal 32,977,615

With that explanation out of the way, let's continue. Next, we take the number 32,977,615 and divide it by 2:

32,977,615 ÷ 2 = 16,488,807.5

If the quotient is a whole number, then 2 and 16,488,807.5 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 32,977,615
-1 -32,977,615

Now, we try dividing 32,977,615 by 3:

32,977,615 ÷ 3 = 10,992,538.3333

If the quotient is a whole number, then 3 and 10,992,538.3333 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 32,977,615
-1 -32,977,615

Let's try dividing by 4:

32,977,615 ÷ 4 = 8,244,403.75

If the quotient is a whole number, then 4 and 8,244,403.75 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 32,977,615
-1 32,977,615
Keep dividing by the next highest number until you cannot divide anymore.

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

151155894459794,8956,73733,68574,107370,535599,5932,997,9656,595,52332,977,615
-1-5-11-55-89-445-979-4,895-6,737-33,685-74,107-370,535-599,593-2,997,965-6,595,523-32,977,615

More Examples

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