Q: What are the factor combinations of the number 43,501,745?

 A:
Positive:   1 x 435017455 x 87003497 x 621453535 x 124290779 x 550655395 x 110131553 x 786652765 x 15733
Negative: -1 x -43501745-5 x -8700349-7 x -6214535-35 x -1242907-79 x -550655-395 x -110131-553 x -78665-2765 x -15733


How do I find the factor combinations of the number 43,501,745?

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 43,501,745, 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 43,501,745
-1 -43,501,745

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 43,501,745.

Example:
1 x 43,501,745 = 43,501,745
and
-1 x -43,501,745 = 43,501,745
Notice both answers equal 43,501,745

With that explanation out of the way, let's continue. Next, we take the number 43,501,745 and divide it by 2:

43,501,745 ÷ 2 = 21,750,872.5

If the quotient is a whole number, then 2 and 21,750,872.5 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 43,501,745
-1 -43,501,745

Now, we try dividing 43,501,745 by 3:

43,501,745 ÷ 3 = 14,500,581.6667

If the quotient is a whole number, then 3 and 14,500,581.6667 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 43,501,745
-1 -43,501,745

Let's try dividing by 4:

43,501,745 ÷ 4 = 10,875,436.25

If the quotient is a whole number, then 4 and 10,875,436.25 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 43,501,745
-1 43,501,745
Keep dividing by the next highest number until you cannot divide anymore.

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

15735793955532,76515,73378,665110,131550,6551,242,9076,214,5358,700,34943,501,745
-1-5-7-35-79-395-553-2,765-15,733-78,665-110,131-550,655-1,242,907-6,214,535-8,700,349-43,501,745

More Examples

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