Q: What are the factor combinations of the number 42,641,755?

 A:
Positive:   1 x 426417555 x 852835113 x 328013565 x 656027293 x 1455351465 x 291072239 x 190453809 x 11195
Negative: -1 x -42641755-5 x -8528351-13 x -3280135-65 x -656027-293 x -145535-1465 x -29107-2239 x -19045-3809 x -11195


How do I find the factor combinations of the number 42,641,755?

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 42,641,755, 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 42,641,755
-1 -42,641,755

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 42,641,755.

Example:
1 x 42,641,755 = 42,641,755
and
-1 x -42,641,755 = 42,641,755
Notice both answers equal 42,641,755

With that explanation out of the way, let's continue. Next, we take the number 42,641,755 and divide it by 2:

42,641,755 ÷ 2 = 21,320,877.5

If the quotient is a whole number, then 2 and 21,320,877.5 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 42,641,755
-1 -42,641,755

Now, we try dividing 42,641,755 by 3:

42,641,755 ÷ 3 = 14,213,918.3333

If the quotient is a whole number, then 3 and 14,213,918.3333 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 42,641,755
-1 -42,641,755

Let's try dividing by 4:

42,641,755 ÷ 4 = 10,660,438.75

If the quotient is a whole number, then 4 and 10,660,438.75 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 42,641,755
-1 42,641,755
Keep dividing by the next highest number until you cannot divide anymore.

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

1513652931,4652,2393,80911,19519,04529,107145,535656,0273,280,1358,528,35142,641,755
-1-5-13-65-293-1,465-2,239-3,809-11,195-19,045-29,107-145,535-656,027-3,280,135-8,528,351-42,641,755

More Examples

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