Q: What are the factor combinations of the number 42,283,423?

 A:
Positive:   1 x 422834237 x 604048913 x 325257141 x 103130349 x 86292791 x 464653287 x 147329533 x 79331637 x 663791619 x 261172009 x 210473731 x 11333
Negative: -1 x -42283423-7 x -6040489-13 x -3252571-41 x -1031303-49 x -862927-91 x -464653-287 x -147329-533 x -79331-637 x -66379-1619 x -26117-2009 x -21047-3731 x -11333


How do I find the factor combinations of the number 42,283,423?

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 42,283,423, 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 42,283,423
-1 -42,283,423

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 42,283,423.

Example:
1 x 42,283,423 = 42,283,423
and
-1 x -42,283,423 = 42,283,423
Notice both answers equal 42,283,423

With that explanation out of the way, let's continue. Next, we take the number 42,283,423 and divide it by 2:

42,283,423 ÷ 2 = 21,141,711.5

If the quotient is a whole number, then 2 and 21,141,711.5 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 42,283,423
-1 -42,283,423

Now, we try dividing 42,283,423 by 3:

42,283,423 ÷ 3 = 14,094,474.3333

If the quotient is a whole number, then 3 and 14,094,474.3333 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 42,283,423
-1 -42,283,423

Let's try dividing by 4:

42,283,423 ÷ 4 = 10,570,855.75

If the quotient is a whole number, then 4 and 10,570,855.75 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 42,283,423
-1 42,283,423
Keep dividing by the next highest number until you cannot divide anymore.

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

17134149912875336371,6192,0093,73111,33321,04726,11766,37979,331147,329464,653862,9271,031,3033,252,5716,040,48942,283,423
-1-7-13-41-49-91-287-533-637-1,619-2,009-3,731-11,333-21,047-26,117-66,379-79,331-147,329-464,653-862,927-1,031,303-3,252,571-6,040,489-42,283,423

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