Q: What are the factor combinations of the number 46,243,625?

 A:
Positive:   1 x 462436255 x 924872519 x 243387525 x 184974595 x 486775125 x 369949475 x 973552375 x 19471
Negative: -1 x -46243625-5 x -9248725-19 x -2433875-25 x -1849745-95 x -486775-125 x -369949-475 x -97355-2375 x -19471


How do I find the factor combinations of the number 46,243,625?

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 46,243,625, 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 46,243,625
-1 -46,243,625

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 46,243,625.

Example:
1 x 46,243,625 = 46,243,625
and
-1 x -46,243,625 = 46,243,625
Notice both answers equal 46,243,625

With that explanation out of the way, let's continue. Next, we take the number 46,243,625 and divide it by 2:

46,243,625 ÷ 2 = 23,121,812.5

If the quotient is a whole number, then 2 and 23,121,812.5 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 46,243,625
-1 -46,243,625

Now, we try dividing 46,243,625 by 3:

46,243,625 ÷ 3 = 15,414,541.6667

If the quotient is a whole number, then 3 and 15,414,541.6667 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 46,243,625
-1 -46,243,625

Let's try dividing by 4:

46,243,625 ÷ 4 = 11,560,906.25

If the quotient is a whole number, then 4 and 11,560,906.25 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 46,243,625
-1 46,243,625
Keep dividing by the next highest number until you cannot divide anymore.

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

151925951254752,37519,47197,355369,949486,7751,849,7452,433,8759,248,72546,243,625
-1-5-19-25-95-125-475-2,375-19,471-97,355-369,949-486,775-1,849,745-2,433,875-9,248,725-46,243,625

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 46,243,625:


Ask a Question