Q: What are the factor combinations of the number 46,422,545?

 A:
Positive:   1 x 464225455 x 928450913 x 357096565 x 714193157 x 295685785 x 591372041 x 227454549 x 10205
Negative: -1 x -46422545-5 x -9284509-13 x -3570965-65 x -714193-157 x -295685-785 x -59137-2041 x -22745-4549 x -10205


How do I find the factor combinations of the number 46,422,545?

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 46,422,545, 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 46,422,545
-1 -46,422,545

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 46,422,545.

Example:
1 x 46,422,545 = 46,422,545
and
-1 x -46,422,545 = 46,422,545
Notice both answers equal 46,422,545

With that explanation out of the way, let's continue. Next, we take the number 46,422,545 and divide it by 2:

46,422,545 ÷ 2 = 23,211,272.5

If the quotient is a whole number, then 2 and 23,211,272.5 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 46,422,545
-1 -46,422,545

Now, we try dividing 46,422,545 by 3:

46,422,545 ÷ 3 = 15,474,181.6667

If the quotient is a whole number, then 3 and 15,474,181.6667 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 46,422,545
-1 -46,422,545

Let's try dividing by 4:

46,422,545 ÷ 4 = 11,605,636.25

If the quotient is a whole number, then 4 and 11,605,636.25 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 46,422,545
-1 46,422,545
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651577852,0414,54910,20522,74559,137295,685714,1933,570,9659,284,50946,422,545
-1-5-13-65-157-785-2,041-4,549-10,205-22,745-59,137-295,685-714,193-3,570,965-9,284,509-46,422,545

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 46,422,545:


Ask a Question