Q: What are the factor combinations of the number 43,012,333?

 A:
Positive:   1 x 430123337 x 614461913 x 330864119 x 226380791 x 472663133 x 323401247 x 1741391729 x 24877
Negative: -1 x -43012333-7 x -6144619-13 x -3308641-19 x -2263807-91 x -472663-133 x -323401-247 x -174139-1729 x -24877


How do I find the factor combinations of the number 43,012,333?

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 43,012,333, 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 43,012,333
-1 -43,012,333

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 43,012,333.

Example:
1 x 43,012,333 = 43,012,333
and
-1 x -43,012,333 = 43,012,333
Notice both answers equal 43,012,333

With that explanation out of the way, let's continue. Next, we take the number 43,012,333 and divide it by 2:

43,012,333 ÷ 2 = 21,506,166.5

If the quotient is a whole number, then 2 and 21,506,166.5 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 43,012,333
-1 -43,012,333

Now, we try dividing 43,012,333 by 3:

43,012,333 ÷ 3 = 14,337,444.3333

If the quotient is a whole number, then 3 and 14,337,444.3333 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 43,012,333
-1 -43,012,333

Let's try dividing by 4:

43,012,333 ÷ 4 = 10,753,083.25

If the quotient is a whole number, then 4 and 10,753,083.25 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 43,012,333
-1 43,012,333
Keep dividing by the next highest number until you cannot divide anymore.

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

171319911332471,72924,877174,139323,401472,6632,263,8073,308,6416,144,61943,012,333
-1-7-13-19-91-133-247-1,729-24,877-174,139-323,401-472,663-2,263,807-3,308,641-6,144,619-43,012,333

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 43,012,333:


Ask a Question