Q: What are the factor combinations of the number 42,737,335?

 A:
Positive:   1 x 427373355 x 854746723 x 185814547 x 909305115 x 371629235 x 1818611081 x 395355405 x 7907
Negative: -1 x -42737335-5 x -8547467-23 x -1858145-47 x -909305-115 x -371629-235 x -181861-1081 x -39535-5405 x -7907


How do I find the factor combinations of the number 42,737,335?

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 42,737,335, 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 42,737,335
-1 -42,737,335

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 42,737,335.

Example:
1 x 42,737,335 = 42,737,335
and
-1 x -42,737,335 = 42,737,335
Notice both answers equal 42,737,335

With that explanation out of the way, let's continue. Next, we take the number 42,737,335 and divide it by 2:

42,737,335 ÷ 2 = 21,368,667.5

If the quotient is a whole number, then 2 and 21,368,667.5 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 42,737,335
-1 -42,737,335

Now, we try dividing 42,737,335 by 3:

42,737,335 ÷ 3 = 14,245,778.3333

If the quotient is a whole number, then 3 and 14,245,778.3333 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 42,737,335
-1 -42,737,335

Let's try dividing by 4:

42,737,335 ÷ 4 = 10,684,333.75

If the quotient is a whole number, then 4 and 10,684,333.75 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 42,737,335
-1 42,737,335
Keep dividing by the next highest number until you cannot divide anymore.

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

1523471152351,0815,4057,90739,535181,861371,629909,3051,858,1458,547,46742,737,335
-1-5-23-47-115-235-1,081-5,405-7,907-39,535-181,861-371,629-909,305-1,858,145-8,547,467-42,737,335

More Examples

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