Q: What are the factor combinations of the number 42,357,421?

 A:
Positive:   1 x 4235742117 x 249161323 x 1841627127 x 333523391 x 108331853 x 496572159 x 196192921 x 14501
Negative: -1 x -42357421-17 x -2491613-23 x -1841627-127 x -333523-391 x -108331-853 x -49657-2159 x -19619-2921 x -14501


How do I find the factor combinations of the number 42,357,421?

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 42,357,421, 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 42,357,421
-1 -42,357,421

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 42,357,421.

Example:
1 x 42,357,421 = 42,357,421
and
-1 x -42,357,421 = 42,357,421
Notice both answers equal 42,357,421

With that explanation out of the way, let's continue. Next, we take the number 42,357,421 and divide it by 2:

42,357,421 ÷ 2 = 21,178,710.5

If the quotient is a whole number, then 2 and 21,178,710.5 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 42,357,421
-1 -42,357,421

Now, we try dividing 42,357,421 by 3:

42,357,421 ÷ 3 = 14,119,140.3333

If the quotient is a whole number, then 3 and 14,119,140.3333 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 42,357,421
-1 -42,357,421

Let's try dividing by 4:

42,357,421 ÷ 4 = 10,589,355.25

If the quotient is a whole number, then 4 and 10,589,355.25 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 42,357,421
-1 42,357,421
Keep dividing by the next highest number until you cannot divide anymore.

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

117231273918532,1592,92114,50119,61949,657108,331333,5231,841,6272,491,61342,357,421
-1-17-23-127-391-853-2,159-2,921-14,501-19,619-49,657-108,331-333,523-1,841,627-2,491,613-42,357,421

More Examples

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