Q: What are the factor combinations of the number 43,388,695?

 A:
Positive:   1 x 433886955 x 86777397 x 619838523 x 188646535 x 1239677115 x 377293161 x 269495805 x 53899
Negative: -1 x -43388695-5 x -8677739-7 x -6198385-23 x -1886465-35 x -1239677-115 x -377293-161 x -269495-805 x -53899


How do I find the factor combinations of the number 43,388,695?

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 43,388,695, 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 43,388,695
-1 -43,388,695

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 43,388,695.

Example:
1 x 43,388,695 = 43,388,695
and
-1 x -43,388,695 = 43,388,695
Notice both answers equal 43,388,695

With that explanation out of the way, let's continue. Next, we take the number 43,388,695 and divide it by 2:

43,388,695 ÷ 2 = 21,694,347.5

If the quotient is a whole number, then 2 and 21,694,347.5 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 43,388,695
-1 -43,388,695

Now, we try dividing 43,388,695 by 3:

43,388,695 ÷ 3 = 14,462,898.3333

If the quotient is a whole number, then 3 and 14,462,898.3333 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 43,388,695
-1 -43,388,695

Let's try dividing by 4:

43,388,695 ÷ 4 = 10,847,173.75

If the quotient is a whole number, then 4 and 10,847,173.75 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 43,388,695
-1 43,388,695
Keep dividing by the next highest number until you cannot divide anymore.

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

157233511516180553,899269,495377,2931,239,6771,886,4656,198,3858,677,73943,388,695
-1-5-7-23-35-115-161-805-53,899-269,495-377,293-1,239,677-1,886,465-6,198,385-8,677,739-43,388,695

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