Q: What are the factor combinations of the number 43,501,885?

 A:
Positive:   1 x 435018855 x 87003777 x 621455529 x 150006535 x 1242911145 x 300013203 x 2142951015 x 42859
Negative: -1 x -43501885-5 x -8700377-7 x -6214555-29 x -1500065-35 x -1242911-145 x -300013-203 x -214295-1015 x -42859


How do I find the factor combinations of the number 43,501,885?

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 43,501,885, 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 43,501,885
-1 -43,501,885

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 43,501,885.

Example:
1 x 43,501,885 = 43,501,885
and
-1 x -43,501,885 = 43,501,885
Notice both answers equal 43,501,885

With that explanation out of the way, let's continue. Next, we take the number 43,501,885 and divide it by 2:

43,501,885 ÷ 2 = 21,750,942.5

If the quotient is a whole number, then 2 and 21,750,942.5 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 43,501,885
-1 -43,501,885

Now, we try dividing 43,501,885 by 3:

43,501,885 ÷ 3 = 14,500,628.3333

If the quotient is a whole number, then 3 and 14,500,628.3333 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 43,501,885
-1 -43,501,885

Let's try dividing by 4:

43,501,885 ÷ 4 = 10,875,471.25

If the quotient is a whole number, then 4 and 10,875,471.25 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 43,501,885
-1 43,501,885
Keep dividing by the next highest number until you cannot divide anymore.

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

15729351452031,01542,859214,295300,0131,242,9111,500,0656,214,5558,700,37743,501,885
-1-5-7-29-35-145-203-1,015-42,859-214,295-300,013-1,242,911-1,500,065-6,214,555-8,700,377-43,501,885

More Examples

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