Q: What are the factor combinations of the number 35,362,615?

 A:
Positive:   1 x 353626155 x 707252323 x 153750561 x 57971571 x 498065115 x 307501305 x 115943355 x 996131403 x 252051633 x 216554331 x 81655041 x 7015
Negative: -1 x -35362615-5 x -7072523-23 x -1537505-61 x -579715-71 x -498065-115 x -307501-305 x -115943-355 x -99613-1403 x -25205-1633 x -21655-4331 x -8165-5041 x -7015


How do I find the factor combinations of the number 35,362,615?

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 35,362,615, 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 35,362,615
-1 -35,362,615

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 35,362,615.

Example:
1 x 35,362,615 = 35,362,615
and
-1 x -35,362,615 = 35,362,615
Notice both answers equal 35,362,615

With that explanation out of the way, let's continue. Next, we take the number 35,362,615 and divide it by 2:

35,362,615 ÷ 2 = 17,681,307.5

If the quotient is a whole number, then 2 and 17,681,307.5 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 35,362,615
-1 -35,362,615

Now, we try dividing 35,362,615 by 3:

35,362,615 ÷ 3 = 11,787,538.3333

If the quotient is a whole number, then 3 and 11,787,538.3333 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 35,362,615
-1 -35,362,615

Let's try dividing by 4:

35,362,615 ÷ 4 = 8,840,653.75

If the quotient is a whole number, then 4 and 8,840,653.75 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 35,362,615
-1 35,362,615
Keep dividing by the next highest number until you cannot divide anymore.

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

152361711153053551,4031,6334,3315,0417,0158,16521,65525,20599,613115,943307,501498,065579,7151,537,5057,072,52335,362,615
-1-5-23-61-71-115-305-355-1,403-1,633-4,331-5,041-7,015-8,165-21,655-25,205-99,613-115,943-307,501-498,065-579,715-1,537,505-7,072,523-35,362,615

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