Q: What are the factor combinations of the number 4,237,387?

 A:
Positive:   1 x 42373877 x 60534111 x 38521777 x 55031113 x 37499487 x 8701791 x 53571243 x 3409
Negative: -1 x -4237387-7 x -605341-11 x -385217-77 x -55031-113 x -37499-487 x -8701-791 x -5357-1243 x -3409


How do I find the factor combinations of the number 4,237,387?

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 4,237,387, 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 4,237,387
-1 -4,237,387

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 4,237,387.

Example:
1 x 4,237,387 = 4,237,387
and
-1 x -4,237,387 = 4,237,387
Notice both answers equal 4,237,387

With that explanation out of the way, let's continue. Next, we take the number 4,237,387 and divide it by 2:

4,237,387 ÷ 2 = 2,118,693.5

If the quotient is a whole number, then 2 and 2,118,693.5 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 4,237,387
-1 -4,237,387

Now, we try dividing 4,237,387 by 3:

4,237,387 ÷ 3 = 1,412,462.3333

If the quotient is a whole number, then 3 and 1,412,462.3333 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 4,237,387
-1 -4,237,387

Let's try dividing by 4:

4,237,387 ÷ 4 = 1,059,346.75

If the quotient is a whole number, then 4 and 1,059,346.75 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 4,237,387
-1 4,237,387
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771134877911,2433,4095,3578,70137,49955,031385,217605,3414,237,387
-1-7-11-77-113-487-791-1,243-3,409-5,357-8,701-37,499-55,031-385,217-605,341-4,237,387

More Examples

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