Q: What are the factor combinations of the number 46,420,619?

 A:
Positive:   1 x 464206197 x 663151729 x 1600711203 x 228673347 x 133777659 x 704412429 x 191114613 x 10063
Negative: -1 x -46420619-7 x -6631517-29 x -1600711-203 x -228673-347 x -133777-659 x -70441-2429 x -19111-4613 x -10063


How do I find the factor combinations of the number 46,420,619?

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 46,420,619, 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 46,420,619
-1 -46,420,619

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 46,420,619.

Example:
1 x 46,420,619 = 46,420,619
and
-1 x -46,420,619 = 46,420,619
Notice both answers equal 46,420,619

With that explanation out of the way, let's continue. Next, we take the number 46,420,619 and divide it by 2:

46,420,619 ÷ 2 = 23,210,309.5

If the quotient is a whole number, then 2 and 23,210,309.5 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 46,420,619
-1 -46,420,619

Now, we try dividing 46,420,619 by 3:

46,420,619 ÷ 3 = 15,473,539.6667

If the quotient is a whole number, then 3 and 15,473,539.6667 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 46,420,619
-1 -46,420,619

Let's try dividing by 4:

46,420,619 ÷ 4 = 11,605,154.75

If the quotient is a whole number, then 4 and 11,605,154.75 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 46,420,619
-1 46,420,619
Keep dividing by the next highest number until you cannot divide anymore.

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

17292033476592,4294,61310,06319,11170,441133,777228,6731,600,7116,631,51746,420,619
-1-7-29-203-347-659-2,429-4,613-10,063-19,111-70,441-133,777-228,673-1,600,711-6,631,517-46,420,619

More Examples

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