Q: What are the factor combinations of the number 47,436,445?

 A:
Positive:   1 x 474364455 x 94872897 x 677663519 x 249665535 x 135532795 x 499331133 x 356665665 x 71333
Negative: -1 x -47436445-5 x -9487289-7 x -6776635-19 x -2496655-35 x -1355327-95 x -499331-133 x -356665-665 x -71333


How do I find the factor combinations of the number 47,436,445?

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 47,436,445, 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 47,436,445
-1 -47,436,445

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 47,436,445.

Example:
1 x 47,436,445 = 47,436,445
and
-1 x -47,436,445 = 47,436,445
Notice both answers equal 47,436,445

With that explanation out of the way, let's continue. Next, we take the number 47,436,445 and divide it by 2:

47,436,445 ÷ 2 = 23,718,222.5

If the quotient is a whole number, then 2 and 23,718,222.5 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 47,436,445
-1 -47,436,445

Now, we try dividing 47,436,445 by 3:

47,436,445 ÷ 3 = 15,812,148.3333

If the quotient is a whole number, then 3 and 15,812,148.3333 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 47,436,445
-1 -47,436,445

Let's try dividing by 4:

47,436,445 ÷ 4 = 11,859,111.25

If the quotient is a whole number, then 4 and 11,859,111.25 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 47,436,445
-1 47,436,445
Keep dividing by the next highest number until you cannot divide anymore.

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

15719359513366571,333356,665499,3311,355,3272,496,6556,776,6359,487,28947,436,445
-1-5-7-19-35-95-133-665-71,333-356,665-499,331-1,355,327-2,496,655-6,776,635-9,487,289-47,436,445

More Examples

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