Q: What are the factor combinations of the number 40,624,045?

 A:
Positive:   1 x 406240455 x 81248097 x 580343511 x 369309535 x 116068755 x 73861977 x 527585385 x 105517
Negative: -1 x -40624045-5 x -8124809-7 x -5803435-11 x -3693095-35 x -1160687-55 x -738619-77 x -527585-385 x -105517


How do I find the factor combinations of the number 40,624,045?

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 40,624,045, 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 40,624,045
-1 -40,624,045

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 40,624,045.

Example:
1 x 40,624,045 = 40,624,045
and
-1 x -40,624,045 = 40,624,045
Notice both answers equal 40,624,045

With that explanation out of the way, let's continue. Next, we take the number 40,624,045 and divide it by 2:

40,624,045 ÷ 2 = 20,312,022.5

If the quotient is a whole number, then 2 and 20,312,022.5 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 40,624,045
-1 -40,624,045

Now, we try dividing 40,624,045 by 3:

40,624,045 ÷ 3 = 13,541,348.3333

If the quotient is a whole number, then 3 and 13,541,348.3333 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 40,624,045
-1 -40,624,045

Let's try dividing by 4:

40,624,045 ÷ 4 = 10,156,011.25

If the quotient is a whole number, then 4 and 10,156,011.25 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 40,624,045
-1 40,624,045
Keep dividing by the next highest number until you cannot divide anymore.

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

15711355577385105,517527,585738,6191,160,6873,693,0955,803,4358,124,80940,624,045
-1-5-7-11-35-55-77-385-105,517-527,585-738,619-1,160,687-3,693,095-5,803,435-8,124,809-40,624,045

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 40,624,045:


Ask a Question