Q: What are the factor combinations of the number 37,111,075?

 A:
Positive:   1 x 371110755 x 742221523 x 161352525 x 1484443115 x 322705233 x 159275277 x 133975575 x 645411165 x 318551385 x 267955359 x 69255825 x 6371
Negative: -1 x -37111075-5 x -7422215-23 x -1613525-25 x -1484443-115 x -322705-233 x -159275-277 x -133975-575 x -64541-1165 x -31855-1385 x -26795-5359 x -6925-5825 x -6371


How do I find the factor combinations of the number 37,111,075?

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 37,111,075, 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 37,111,075
-1 -37,111,075

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 37,111,075.

Example:
1 x 37,111,075 = 37,111,075
and
-1 x -37,111,075 = 37,111,075
Notice both answers equal 37,111,075

With that explanation out of the way, let's continue. Next, we take the number 37,111,075 and divide it by 2:

37,111,075 ÷ 2 = 18,555,537.5

If the quotient is a whole number, then 2 and 18,555,537.5 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 37,111,075
-1 -37,111,075

Now, we try dividing 37,111,075 by 3:

37,111,075 ÷ 3 = 12,370,358.3333

If the quotient is a whole number, then 3 and 12,370,358.3333 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 37,111,075
-1 -37,111,075

Let's try dividing by 4:

37,111,075 ÷ 4 = 9,277,768.75

If the quotient is a whole number, then 4 and 9,277,768.75 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 37,111,075
-1 37,111,075
Keep dividing by the next highest number until you cannot divide anymore.

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

1523251152332775751,1651,3855,3595,8256,3716,92526,79531,85564,541133,975159,275322,7051,484,4431,613,5257,422,21537,111,075
-1-5-23-25-115-233-277-575-1,165-1,385-5,359-5,825-6,371-6,925-26,795-31,855-64,541-133,975-159,275-322,705-1,484,443-1,613,525-7,422,215-37,111,075

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 37,111,075:


Ask a Question