Q: What are the factor combinations of the number 46,466,525?

 A:
Positive:   1 x 464665255 x 92933057 x 663807517 x 273332525 x 185866135 x 132761585 x 546665119 x 390475175 x 265523425 x 109333595 x 780952975 x 15619
Negative: -1 x -46466525-5 x -9293305-7 x -6638075-17 x -2733325-25 x -1858661-35 x -1327615-85 x -546665-119 x -390475-175 x -265523-425 x -109333-595 x -78095-2975 x -15619


How do I find the factor combinations of the number 46,466,525?

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 46,466,525, 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 46,466,525
-1 -46,466,525

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 46,466,525.

Example:
1 x 46,466,525 = 46,466,525
and
-1 x -46,466,525 = 46,466,525
Notice both answers equal 46,466,525

With that explanation out of the way, let's continue. Next, we take the number 46,466,525 and divide it by 2:

46,466,525 ÷ 2 = 23,233,262.5

If the quotient is a whole number, then 2 and 23,233,262.5 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 46,466,525
-1 -46,466,525

Now, we try dividing 46,466,525 by 3:

46,466,525 ÷ 3 = 15,488,841.6667

If the quotient is a whole number, then 3 and 15,488,841.6667 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 46,466,525
-1 -46,466,525

Let's try dividing by 4:

46,466,525 ÷ 4 = 11,616,631.25

If the quotient is a whole number, then 4 and 11,616,631.25 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 46,466,525
-1 46,466,525
Keep dividing by the next highest number until you cannot divide anymore.

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

157172535851191754255952,97515,61978,095109,333265,523390,475546,6651,327,6151,858,6612,733,3256,638,0759,293,30546,466,525
-1-5-7-17-25-35-85-119-175-425-595-2,975-15,619-78,095-109,333-265,523-390,475-546,665-1,327,615-1,858,661-2,733,325-6,638,075-9,293,305-46,466,525

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