Q: What are the factor combinations of the number 4,237,375?

 A:
Positive:   1 x 42373755 x 84747525 x 169495109 x 38875125 x 33899311 x 13625545 x 77751555 x 2725
Negative: -1 x -4237375-5 x -847475-25 x -169495-109 x -38875-125 x -33899-311 x -13625-545 x -7775-1555 x -2725


How do I find the factor combinations of the number 4,237,375?

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 4,237,375, 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 4,237,375
-1 -4,237,375

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 4,237,375.

Example:
1 x 4,237,375 = 4,237,375
and
-1 x -4,237,375 = 4,237,375
Notice both answers equal 4,237,375

With that explanation out of the way, let's continue. Next, we take the number 4,237,375 and divide it by 2:

4,237,375 ÷ 2 = 2,118,687.5

If the quotient is a whole number, then 2 and 2,118,687.5 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 4,237,375
-1 -4,237,375

Now, we try dividing 4,237,375 by 3:

4,237,375 ÷ 3 = 1,412,458.3333

If the quotient is a whole number, then 3 and 1,412,458.3333 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 4,237,375
-1 -4,237,375

Let's try dividing by 4:

4,237,375 ÷ 4 = 1,059,343.75

If the quotient is a whole number, then 4 and 1,059,343.75 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 4,237,375
-1 4,237,375
Keep dividing by the next highest number until you cannot divide anymore.

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

15251091253115451,5552,7257,77513,62533,89938,875169,495847,4754,237,375
-1-5-25-109-125-311-545-1,555-2,725-7,775-13,625-33,899-38,875-169,495-847,475-4,237,375

More Examples

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