Q: What are the factor combinations of the number 37,150,085?

 A:
Positive:   1 x 371500855 x 74300177 x 530715535 x 106143149 x 75816553 x 700945245 x 151633265 x 140189371 x 1001351855 x 200272597 x 143052861 x 12985
Negative: -1 x -37150085-5 x -7430017-7 x -5307155-35 x -1061431-49 x -758165-53 x -700945-245 x -151633-265 x -140189-371 x -100135-1855 x -20027-2597 x -14305-2861 x -12985


How do I find the factor combinations of the number 37,150,085?

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 37,150,085, 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 37,150,085
-1 -37,150,085

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 37,150,085.

Example:
1 x 37,150,085 = 37,150,085
and
-1 x -37,150,085 = 37,150,085
Notice both answers equal 37,150,085

With that explanation out of the way, let's continue. Next, we take the number 37,150,085 and divide it by 2:

37,150,085 ÷ 2 = 18,575,042.5

If the quotient is a whole number, then 2 and 18,575,042.5 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 37,150,085
-1 -37,150,085

Now, we try dividing 37,150,085 by 3:

37,150,085 ÷ 3 = 12,383,361.6667

If the quotient is a whole number, then 3 and 12,383,361.6667 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 37,150,085
-1 -37,150,085

Let's try dividing by 4:

37,150,085 ÷ 4 = 9,287,521.25

If the quotient is a whole number, then 4 and 9,287,521.25 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 37,150,085
-1 37,150,085
Keep dividing by the next highest number until you cannot divide anymore.

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

1573549532452653711,8552,5972,86112,98514,30520,027100,135140,189151,633700,945758,1651,061,4315,307,1557,430,01737,150,085
-1-5-7-35-49-53-245-265-371-1,855-2,597-2,861-12,985-14,305-20,027-100,135-140,189-151,633-700,945-758,165-1,061,431-5,307,155-7,430,017-37,150,085

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