Q: What are the factor combinations of the number 43,213,495?

 A:
Positive:   1 x 432134955 x 864269913 x 332411543 x 100496565 x 664823215 x 200993559 x 773052795 x 15461
Negative: -1 x -43213495-5 x -8642699-13 x -3324115-43 x -1004965-65 x -664823-215 x -200993-559 x -77305-2795 x -15461


How do I find the factor combinations of the number 43,213,495?

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 43,213,495, 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 43,213,495
-1 -43,213,495

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 43,213,495.

Example:
1 x 43,213,495 = 43,213,495
and
-1 x -43,213,495 = 43,213,495
Notice both answers equal 43,213,495

With that explanation out of the way, let's continue. Next, we take the number 43,213,495 and divide it by 2:

43,213,495 ÷ 2 = 21,606,747.5

If the quotient is a whole number, then 2 and 21,606,747.5 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 43,213,495
-1 -43,213,495

Now, we try dividing 43,213,495 by 3:

43,213,495 ÷ 3 = 14,404,498.3333

If the quotient is a whole number, then 3 and 14,404,498.3333 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 43,213,495
-1 -43,213,495

Let's try dividing by 4:

43,213,495 ÷ 4 = 10,803,373.75

If the quotient is a whole number, then 4 and 10,803,373.75 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 43,213,495
-1 43,213,495
Keep dividing by the next highest number until you cannot divide anymore.

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

151343652155592,79515,46177,305200,993664,8231,004,9653,324,1158,642,69943,213,495
-1-5-13-43-65-215-559-2,795-15,461-77,305-200,993-664,823-1,004,965-3,324,115-8,642,699-43,213,495

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