Q: What are the factor combinations of the number 45,707,467?

 A:
Positive:   1 x 4570746713 x 351595967 x 68220197 x 471211541 x 84487871 x 524771261 x 362476499 x 7033
Negative: -1 x -45707467-13 x -3515959-67 x -682201-97 x -471211-541 x -84487-871 x -52477-1261 x -36247-6499 x -7033


How do I find the factor combinations of the number 45,707,467?

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 45,707,467, 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 45,707,467
-1 -45,707,467

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 45,707,467.

Example:
1 x 45,707,467 = 45,707,467
and
-1 x -45,707,467 = 45,707,467
Notice both answers equal 45,707,467

With that explanation out of the way, let's continue. Next, we take the number 45,707,467 and divide it by 2:

45,707,467 ÷ 2 = 22,853,733.5

If the quotient is a whole number, then 2 and 22,853,733.5 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 45,707,467
-1 -45,707,467

Now, we try dividing 45,707,467 by 3:

45,707,467 ÷ 3 = 15,235,822.3333

If the quotient is a whole number, then 3 and 15,235,822.3333 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 45,707,467
-1 -45,707,467

Let's try dividing by 4:

45,707,467 ÷ 4 = 11,426,866.75

If the quotient is a whole number, then 4 and 11,426,866.75 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 45,707,467
-1 45,707,467
Keep dividing by the next highest number until you cannot divide anymore.

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

11367975418711,2616,4997,03336,24752,47784,487471,211682,2013,515,95945,707,467
-1-13-67-97-541-871-1,261-6,499-7,033-36,247-52,477-84,487-471,211-682,201-3,515,959-45,707,467

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