Q: What are the factor combinations of the number 43,450,495?

 A:
Positive:   1 x 434504955 x 869009911 x 395004555 x 790009121 x 359095605 x 718191331 x 326456529 x 6655
Negative: -1 x -43450495-5 x -8690099-11 x -3950045-55 x -790009-121 x -359095-605 x -71819-1331 x -32645-6529 x -6655


How do I find the factor combinations of the number 43,450,495?

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 43,450,495, 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 43,450,495
-1 -43,450,495

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 43,450,495.

Example:
1 x 43,450,495 = 43,450,495
and
-1 x -43,450,495 = 43,450,495
Notice both answers equal 43,450,495

With that explanation out of the way, let's continue. Next, we take the number 43,450,495 and divide it by 2:

43,450,495 ÷ 2 = 21,725,247.5

If the quotient is a whole number, then 2 and 21,725,247.5 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 43,450,495
-1 -43,450,495

Now, we try dividing 43,450,495 by 3:

43,450,495 ÷ 3 = 14,483,498.3333

If the quotient is a whole number, then 3 and 14,483,498.3333 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 43,450,495
-1 -43,450,495

Let's try dividing by 4:

43,450,495 ÷ 4 = 10,862,623.75

If the quotient is a whole number, then 4 and 10,862,623.75 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 43,450,495
-1 43,450,495
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551216051,3316,5296,65532,64571,819359,095790,0093,950,0458,690,09943,450,495
-1-5-11-55-121-605-1,331-6,529-6,655-32,645-71,819-359,095-790,009-3,950,045-8,690,099-43,450,495

More Examples

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