Q: What are the factor combinations of the number 43,012,325?

 A:
Positive:   1 x 430123255 x 860246525 x 172049367 x 641975335 x 1283951675 x 25679
Negative: -1 x -43012325-5 x -8602465-25 x -1720493-67 x -641975-335 x -128395-1675 x -25679


How do I find the factor combinations of the number 43,012,325?

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 43,012,325, 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 43,012,325
-1 -43,012,325

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 43,012,325.

Example:
1 x 43,012,325 = 43,012,325
and
-1 x -43,012,325 = 43,012,325
Notice both answers equal 43,012,325

With that explanation out of the way, let's continue. Next, we take the number 43,012,325 and divide it by 2:

43,012,325 ÷ 2 = 21,506,162.5

If the quotient is a whole number, then 2 and 21,506,162.5 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 43,012,325
-1 -43,012,325

Now, we try dividing 43,012,325 by 3:

43,012,325 ÷ 3 = 14,337,441.6667

If the quotient is a whole number, then 3 and 14,337,441.6667 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 43,012,325
-1 -43,012,325

Let's try dividing by 4:

43,012,325 ÷ 4 = 10,753,081.25

If the quotient is a whole number, then 4 and 10,753,081.25 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 43,012,325
-1 43,012,325
Keep dividing by the next highest number until you cannot divide anymore.

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

1525673351,67525,679128,395641,9751,720,4938,602,46543,012,325
-1-5-25-67-335-1,675-25,679-128,395-641,975-1,720,493-8,602,465-43,012,325

More Examples

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