Q: What are the factor combinations of the number 46,451,113?

 A:
Positive:   1 x 4645111331 x 149842359 x 787307109 x 426157233 x 1993611829 x 253973379 x 137476431 x 7223
Negative: -1 x -46451113-31 x -1498423-59 x -787307-109 x -426157-233 x -199361-1829 x -25397-3379 x -13747-6431 x -7223


How do I find the factor combinations of the number 46,451,113?

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 46,451,113, 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 46,451,113
-1 -46,451,113

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 46,451,113.

Example:
1 x 46,451,113 = 46,451,113
and
-1 x -46,451,113 = 46,451,113
Notice both answers equal 46,451,113

With that explanation out of the way, let's continue. Next, we take the number 46,451,113 and divide it by 2:

46,451,113 ÷ 2 = 23,225,556.5

If the quotient is a whole number, then 2 and 23,225,556.5 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 46,451,113
-1 -46,451,113

Now, we try dividing 46,451,113 by 3:

46,451,113 ÷ 3 = 15,483,704.3333

If the quotient is a whole number, then 3 and 15,483,704.3333 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 46,451,113
-1 -46,451,113

Let's try dividing by 4:

46,451,113 ÷ 4 = 11,612,778.25

If the quotient is a whole number, then 4 and 11,612,778.25 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 46,451,113
-1 46,451,113
Keep dividing by the next highest number until you cannot divide anymore.

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

131591092331,8293,3796,4317,22313,74725,397199,361426,157787,3071,498,42346,451,113
-1-31-59-109-233-1,829-3,379-6,431-7,223-13,747-25,397-199,361-426,157-787,307-1,498,423-46,451,113

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