Q: What are the factor combinations of the number 42,037,559?

 A:
Positive:   1 x 4203755929 x 144957159 x 71250179 x 532121311 x 1351691711 x 245692291 x 183494661 x 9019
Negative: -1 x -42037559-29 x -1449571-59 x -712501-79 x -532121-311 x -135169-1711 x -24569-2291 x -18349-4661 x -9019


How do I find the factor combinations of the number 42,037,559?

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 42,037,559, 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 42,037,559
-1 -42,037,559

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 42,037,559.

Example:
1 x 42,037,559 = 42,037,559
and
-1 x -42,037,559 = 42,037,559
Notice both answers equal 42,037,559

With that explanation out of the way, let's continue. Next, we take the number 42,037,559 and divide it by 2:

42,037,559 ÷ 2 = 21,018,779.5

If the quotient is a whole number, then 2 and 21,018,779.5 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 42,037,559
-1 -42,037,559

Now, we try dividing 42,037,559 by 3:

42,037,559 ÷ 3 = 14,012,519.6667

If the quotient is a whole number, then 3 and 14,012,519.6667 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 42,037,559
-1 -42,037,559

Let's try dividing by 4:

42,037,559 ÷ 4 = 10,509,389.75

If the quotient is a whole number, then 4 and 10,509,389.75 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 42,037,559
-1 42,037,559
Keep dividing by the next highest number until you cannot divide anymore.

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

12959793111,7112,2914,6619,01918,34924,569135,169532,121712,5011,449,57142,037,559
-1-29-59-79-311-1,711-2,291-4,661-9,019-18,349-24,569-135,169-532,121-712,501-1,449,571-42,037,559

More Examples

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