Q: What are the factor combinations of the number 47,070,515?

 A:
Positive:   1 x 470705155 x 941410367 x 70254571 x 662965335 x 140509355 x 1325931979 x 237854757 x 9895
Negative: -1 x -47070515-5 x -9414103-67 x -702545-71 x -662965-335 x -140509-355 x -132593-1979 x -23785-4757 x -9895


How do I find the factor combinations of the number 47,070,515?

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 47,070,515, 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 47,070,515
-1 -47,070,515

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 47,070,515.

Example:
1 x 47,070,515 = 47,070,515
and
-1 x -47,070,515 = 47,070,515
Notice both answers equal 47,070,515

With that explanation out of the way, let's continue. Next, we take the number 47,070,515 and divide it by 2:

47,070,515 ÷ 2 = 23,535,257.5

If the quotient is a whole number, then 2 and 23,535,257.5 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 47,070,515
-1 -47,070,515

Now, we try dividing 47,070,515 by 3:

47,070,515 ÷ 3 = 15,690,171.6667

If the quotient is a whole number, then 3 and 15,690,171.6667 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 47,070,515
-1 -47,070,515

Let's try dividing by 4:

47,070,515 ÷ 4 = 11,767,628.75

If the quotient is a whole number, then 4 and 11,767,628.75 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 47,070,515
-1 47,070,515
Keep dividing by the next highest number until you cannot divide anymore.

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

1567713353551,9794,7579,89523,785132,593140,509662,965702,5459,414,10347,070,515
-1-5-67-71-335-355-1,979-4,757-9,895-23,785-132,593-140,509-662,965-702,545-9,414,103-47,070,515

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 47,070,515:


Ask a Question