Q: What are the factor combinations of the number 42,246,523?

 A:
Positive:   1 x 4224652311 x 384059341 x 1030403283 x 149281331 x 127633451 x 936733113 x 135713641 x 11603
Negative: -1 x -42246523-11 x -3840593-41 x -1030403-283 x -149281-331 x -127633-451 x -93673-3113 x -13571-3641 x -11603


How do I find the factor combinations of the number 42,246,523?

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 42,246,523, 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 42,246,523
-1 -42,246,523

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 42,246,523.

Example:
1 x 42,246,523 = 42,246,523
and
-1 x -42,246,523 = 42,246,523
Notice both answers equal 42,246,523

With that explanation out of the way, let's continue. Next, we take the number 42,246,523 and divide it by 2:

42,246,523 ÷ 2 = 21,123,261.5

If the quotient is a whole number, then 2 and 21,123,261.5 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 42,246,523
-1 -42,246,523

Now, we try dividing 42,246,523 by 3:

42,246,523 ÷ 3 = 14,082,174.3333

If the quotient is a whole number, then 3 and 14,082,174.3333 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 42,246,523
-1 -42,246,523

Let's try dividing by 4:

42,246,523 ÷ 4 = 10,561,630.75

If the quotient is a whole number, then 4 and 10,561,630.75 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 42,246,523
-1 42,246,523
Keep dividing by the next highest number until you cannot divide anymore.

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

111412833314513,1133,64111,60313,57193,673127,633149,2811,030,4033,840,59342,246,523
-1-11-41-283-331-451-3,113-3,641-11,603-13,571-93,673-127,633-149,281-1,030,403-3,840,593-42,246,523

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