Q: What are the factor combinations of the number 43,003,555?

 A:
Positive:   1 x 430035555 x 86007117 x 614336519 x 226334535 x 122867395 x 452669133 x 323335665 x 64667
Negative: -1 x -43003555-5 x -8600711-7 x -6143365-19 x -2263345-35 x -1228673-95 x -452669-133 x -323335-665 x -64667


How do I find the factor combinations of the number 43,003,555?

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 43,003,555, 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 43,003,555
-1 -43,003,555

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 43,003,555.

Example:
1 x 43,003,555 = 43,003,555
and
-1 x -43,003,555 = 43,003,555
Notice both answers equal 43,003,555

With that explanation out of the way, let's continue. Next, we take the number 43,003,555 and divide it by 2:

43,003,555 ÷ 2 = 21,501,777.5

If the quotient is a whole number, then 2 and 21,501,777.5 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 43,003,555
-1 -43,003,555

Now, we try dividing 43,003,555 by 3:

43,003,555 ÷ 3 = 14,334,518.3333

If the quotient is a whole number, then 3 and 14,334,518.3333 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 43,003,555
-1 -43,003,555

Let's try dividing by 4:

43,003,555 ÷ 4 = 10,750,888.75

If the quotient is a whole number, then 4 and 10,750,888.75 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 43,003,555
-1 43,003,555
Keep dividing by the next highest number until you cannot divide anymore.

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

15719359513366564,667323,335452,6691,228,6732,263,3456,143,3658,600,71143,003,555
-1-5-7-19-35-95-133-665-64,667-323,335-452,669-1,228,673-2,263,345-6,143,365-8,600,711-43,003,555

More Examples

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