Q: What are the factor combinations of the number 37,438,561?

 A:
Positive:   1 x 3743856137 x 101185373 x 51285783 x 451067167 x 2241832701 x 138613071 x 121916059 x 6179
Negative: -1 x -37438561-37 x -1011853-73 x -512857-83 x -451067-167 x -224183-2701 x -13861-3071 x -12191-6059 x -6179


How do I find the factor combinations of the number 37,438,561?

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 37,438,561, 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 37,438,561
-1 -37,438,561

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 37,438,561.

Example:
1 x 37,438,561 = 37,438,561
and
-1 x -37,438,561 = 37,438,561
Notice both answers equal 37,438,561

With that explanation out of the way, let's continue. Next, we take the number 37,438,561 and divide it by 2:

37,438,561 ÷ 2 = 18,719,280.5

If the quotient is a whole number, then 2 and 18,719,280.5 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 37,438,561
-1 -37,438,561

Now, we try dividing 37,438,561 by 3:

37,438,561 ÷ 3 = 12,479,520.3333

If the quotient is a whole number, then 3 and 12,479,520.3333 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 37,438,561
-1 -37,438,561

Let's try dividing by 4:

37,438,561 ÷ 4 = 9,359,640.25

If the quotient is a whole number, then 4 and 9,359,640.25 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 37,438,561
-1 37,438,561
Keep dividing by the next highest number until you cannot divide anymore.

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

13773831672,7013,0716,0596,17912,19113,861224,183451,067512,8571,011,85337,438,561
-1-37-73-83-167-2,701-3,071-6,059-6,179-12,191-13,861-224,183-451,067-512,857-1,011,853-37,438,561

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 37,438,561:


Ask a Question