Q: What are the factor combinations of the number 45,046,651?

 A:
Positive:   1 x 4504665113 x 346512717 x 2649803221 x 203831317 x 142103643 x 700574121 x 109315389 x 8359
Negative: -1 x -45046651-13 x -3465127-17 x -2649803-221 x -203831-317 x -142103-643 x -70057-4121 x -10931-5389 x -8359


How do I find the factor combinations of the number 45,046,651?

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 45,046,651, 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 45,046,651
-1 -45,046,651

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 45,046,651.

Example:
1 x 45,046,651 = 45,046,651
and
-1 x -45,046,651 = 45,046,651
Notice both answers equal 45,046,651

With that explanation out of the way, let's continue. Next, we take the number 45,046,651 and divide it by 2:

45,046,651 ÷ 2 = 22,523,325.5

If the quotient is a whole number, then 2 and 22,523,325.5 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 45,046,651
-1 -45,046,651

Now, we try dividing 45,046,651 by 3:

45,046,651 ÷ 3 = 15,015,550.3333

If the quotient is a whole number, then 3 and 15,015,550.3333 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 45,046,651
-1 -45,046,651

Let's try dividing by 4:

45,046,651 ÷ 4 = 11,261,662.75

If the quotient is a whole number, then 4 and 11,261,662.75 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 45,046,651
-1 45,046,651
Keep dividing by the next highest number until you cannot divide anymore.

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

113172213176434,1215,3898,35910,93170,057142,103203,8312,649,8033,465,12745,046,651
-1-13-17-221-317-643-4,121-5,389-8,359-10,931-70,057-142,103-203,831-2,649,803-3,465,127-45,046,651

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