Q: What are the factor combinations of the number 47,314,565?

 A:
Positive:   1 x 473145655 x 946291323 x 205715583 x 570055115 x 411431415 x 1140111909 x 247854957 x 9545
Negative: -1 x -47314565-5 x -9462913-23 x -2057155-83 x -570055-115 x -411431-415 x -114011-1909 x -24785-4957 x -9545


How do I find the factor combinations of the number 47,314,565?

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 47,314,565, 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 47,314,565
-1 -47,314,565

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 47,314,565.

Example:
1 x 47,314,565 = 47,314,565
and
-1 x -47,314,565 = 47,314,565
Notice both answers equal 47,314,565

With that explanation out of the way, let's continue. Next, we take the number 47,314,565 and divide it by 2:

47,314,565 ÷ 2 = 23,657,282.5

If the quotient is a whole number, then 2 and 23,657,282.5 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 47,314,565
-1 -47,314,565

Now, we try dividing 47,314,565 by 3:

47,314,565 ÷ 3 = 15,771,521.6667

If the quotient is a whole number, then 3 and 15,771,521.6667 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 47,314,565
-1 -47,314,565

Let's try dividing by 4:

47,314,565 ÷ 4 = 11,828,641.25

If the quotient is a whole number, then 4 and 11,828,641.25 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 47,314,565
-1 47,314,565
Keep dividing by the next highest number until you cannot divide anymore.

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

1523831154151,9094,9579,54524,785114,011411,431570,0552,057,1559,462,91347,314,565
-1-5-23-83-115-415-1,909-4,957-9,545-24,785-114,011-411,431-570,055-2,057,155-9,462,913-47,314,565

More Examples

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