Q: What are the factor combinations of the number 37,676,075?

 A:
Positive:   1 x 376760755 x 753521525 x 150704329 x 1299175145 x 259835157 x 239975331 x 113825725 x 51967785 x 479951655 x 227653925 x 95994553 x 8275
Negative: -1 x -37676075-5 x -7535215-25 x -1507043-29 x -1299175-145 x -259835-157 x -239975-331 x -113825-725 x -51967-785 x -47995-1655 x -22765-3925 x -9599-4553 x -8275


How do I find the factor combinations of the number 37,676,075?

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 37,676,075, 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 37,676,075
-1 -37,676,075

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 37,676,075.

Example:
1 x 37,676,075 = 37,676,075
and
-1 x -37,676,075 = 37,676,075
Notice both answers equal 37,676,075

With that explanation out of the way, let's continue. Next, we take the number 37,676,075 and divide it by 2:

37,676,075 ÷ 2 = 18,838,037.5

If the quotient is a whole number, then 2 and 18,838,037.5 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 37,676,075
-1 -37,676,075

Now, we try dividing 37,676,075 by 3:

37,676,075 ÷ 3 = 12,558,691.6667

If the quotient is a whole number, then 3 and 12,558,691.6667 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 37,676,075
-1 -37,676,075

Let's try dividing by 4:

37,676,075 ÷ 4 = 9,419,018.75

If the quotient is a whole number, then 4 and 9,419,018.75 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 37,676,075
-1 37,676,075
Keep dividing by the next highest number until you cannot divide anymore.

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

1525291451573317257851,6553,9254,5538,2759,59922,76547,99551,967113,825239,975259,8351,299,1751,507,0437,535,21537,676,075
-1-5-25-29-145-157-331-725-785-1,655-3,925-4,553-8,275-9,599-22,765-47,995-51,967-113,825-239,975-259,835-1,299,175-1,507,043-7,535,215-37,676,075

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