Q: What are the factor combinations of the number 42,761,407?

 A:
Positive:   1 x 4276140713 x 328933953 x 806819689 x 620631171 x 365172809 x 15223
Negative: -1 x -42761407-13 x -3289339-53 x -806819-689 x -62063-1171 x -36517-2809 x -15223


How do I find the factor combinations of the number 42,761,407?

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 42,761,407, 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 42,761,407
-1 -42,761,407

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 42,761,407.

Example:
1 x 42,761,407 = 42,761,407
and
-1 x -42,761,407 = 42,761,407
Notice both answers equal 42,761,407

With that explanation out of the way, let's continue. Next, we take the number 42,761,407 and divide it by 2:

42,761,407 ÷ 2 = 21,380,703.5

If the quotient is a whole number, then 2 and 21,380,703.5 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 42,761,407
-1 -42,761,407

Now, we try dividing 42,761,407 by 3:

42,761,407 ÷ 3 = 14,253,802.3333

If the quotient is a whole number, then 3 and 14,253,802.3333 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 42,761,407
-1 -42,761,407

Let's try dividing by 4:

42,761,407 ÷ 4 = 10,690,351.75

If the quotient is a whole number, then 4 and 10,690,351.75 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 42,761,407
-1 42,761,407
Keep dividing by the next highest number until you cannot divide anymore.

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

113536891,1712,80915,22336,51762,063806,8193,289,33942,761,407
-1-13-53-689-1,171-2,809-15,223-36,517-62,063-806,819-3,289,339-42,761,407

More Examples

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