Q: What are the factor combinations of the number 46,044,167?

 A:
Positive:   1 x 4604416713 x 354185983 x 554749139 x 331253307 x 1499811079 x 426731807 x 254813991 x 11537
Negative: -1 x -46044167-13 x -3541859-83 x -554749-139 x -331253-307 x -149981-1079 x -42673-1807 x -25481-3991 x -11537


How do I find the factor combinations of the number 46,044,167?

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 46,044,167, 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 46,044,167
-1 -46,044,167

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 46,044,167.

Example:
1 x 46,044,167 = 46,044,167
and
-1 x -46,044,167 = 46,044,167
Notice both answers equal 46,044,167

With that explanation out of the way, let's continue. Next, we take the number 46,044,167 and divide it by 2:

46,044,167 ÷ 2 = 23,022,083.5

If the quotient is a whole number, then 2 and 23,022,083.5 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 46,044,167
-1 -46,044,167

Now, we try dividing 46,044,167 by 3:

46,044,167 ÷ 3 = 15,348,055.6667

If the quotient is a whole number, then 3 and 15,348,055.6667 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 46,044,167
-1 -46,044,167

Let's try dividing by 4:

46,044,167 ÷ 4 = 11,511,041.75

If the quotient is a whole number, then 4 and 11,511,041.75 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 46,044,167
-1 46,044,167
Keep dividing by the next highest number until you cannot divide anymore.

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

113831393071,0791,8073,99111,53725,48142,673149,981331,253554,7493,541,85946,044,167
-1-13-83-139-307-1,079-1,807-3,991-11,537-25,481-42,673-149,981-331,253-554,749-3,541,859-46,044,167

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