Q: What are the factor combinations of the number 112,562,615?

 A:
Positive:   1 x 1125626155 x 2251252311 x 1023296555 x 2046593673 x 1672553041 x 370153365 x 334517403 x 15205
Negative: -1 x -112562615-5 x -22512523-11 x -10232965-55 x -2046593-673 x -167255-3041 x -37015-3365 x -33451-7403 x -15205


How do I find the factor combinations of the number 112,562,615?

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 112,562,615, 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.

1 112,562,615
-1 -112,562,615

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 112,562,615.

Example:
1 x 112,562,615 = 112,562,615
and
-1 x -112,562,615 = 112,562,615
Notice both answers equal 112,562,615

With that explanation out of the way, let's continue. Next, we take the number 112,562,615 and divide it by 2:

112,562,615 ÷ 2 = 56,281,307.5

If the quotient is a whole number, then 2 and 56,281,307.5 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:

1 112,562,615
-1 -112,562,615

Now, we try dividing 112,562,615 by 3:

112,562,615 ÷ 3 = 37,520,871.6667

If the quotient is a whole number, then 3 and 37,520,871.6667 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:

1 112,562,615
-1 -112,562,615

Let's try dividing by 4:

112,562,615 ÷ 4 = 28,140,653.75

If the quotient is a whole number, then 4 and 28,140,653.75 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:

1 112,562,615
-1 112,562,615
Keep dividing by the next highest number until you cannot divide anymore.

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

1511556733,0413,3657,40315,20533,45137,015167,2552,046,59310,232,96522,512,523112,562,615
-1-5-11-55-673-3,041-3,365-7,403-15,205-33,451-37,015-167,255-2,046,593-10,232,965-22,512,523-112,562,615

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