Q: What are the factor combinations of the number 42,300,037?

 A:
Positive:   1 x 4230003713 x 325384983 x 509639197 x 214721199 x 2125631079 x 392032561 x 165172587 x 16351
Negative: -1 x -42300037-13 x -3253849-83 x -509639-197 x -214721-199 x -212563-1079 x -39203-2561 x -16517-2587 x -16351


How do I find the factor combinations of the number 42,300,037?

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 42,300,037, 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 42,300,037
-1 -42,300,037

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 42,300,037.

Example:
1 x 42,300,037 = 42,300,037
and
-1 x -42,300,037 = 42,300,037
Notice both answers equal 42,300,037

With that explanation out of the way, let's continue. Next, we take the number 42,300,037 and divide it by 2:

42,300,037 ÷ 2 = 21,150,018.5

If the quotient is a whole number, then 2 and 21,150,018.5 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 42,300,037
-1 -42,300,037

Now, we try dividing 42,300,037 by 3:

42,300,037 ÷ 3 = 14,100,012.3333

If the quotient is a whole number, then 3 and 14,100,012.3333 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 42,300,037
-1 -42,300,037

Let's try dividing by 4:

42,300,037 ÷ 4 = 10,575,009.25

If the quotient is a whole number, then 4 and 10,575,009.25 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 42,300,037
-1 42,300,037
Keep dividing by the next highest number until you cannot divide anymore.

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

113831971991,0792,5612,58716,35116,51739,203212,563214,721509,6393,253,84942,300,037
-1-13-83-197-199-1,079-2,561-2,587-16,351-16,517-39,203-212,563-214,721-509,639-3,253,849-42,300,037

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