Q: What are the factor combinations of the number 46,167,905?

 A:
Positive:   1 x 461679055 x 92335817 x 659541535 x 1319083
Negative: -1 x -46167905-5 x -9233581-7 x -6595415-35 x -1319083


How do I find the factor combinations of the number 46,167,905?

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 46,167,905, 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 46,167,905
-1 -46,167,905

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 46,167,905.

Example:
1 x 46,167,905 = 46,167,905
and
-1 x -46,167,905 = 46,167,905
Notice both answers equal 46,167,905

With that explanation out of the way, let's continue. Next, we take the number 46,167,905 and divide it by 2:

46,167,905 ÷ 2 = 23,083,952.5

If the quotient is a whole number, then 2 and 23,083,952.5 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 46,167,905
-1 -46,167,905

Now, we try dividing 46,167,905 by 3:

46,167,905 ÷ 3 = 15,389,301.6667

If the quotient is a whole number, then 3 and 15,389,301.6667 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 46,167,905
-1 -46,167,905

Let's try dividing by 4:

46,167,905 ÷ 4 = 11,541,976.25

If the quotient is a whole number, then 4 and 11,541,976.25 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 46,167,905
-1 46,167,905
Keep dividing by the next highest number until you cannot divide anymore.

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

157351,319,0836,595,4159,233,58146,167,905
-1-5-7-35-1,319,083-6,595,415-9,233,581-46,167,905

More Examples

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