Q: What are the factor combinations of the number 46,651,555?

 A:
Positive:   1 x 466515555 x 933031119 x 245534595 x 491069311 x 1500051555 x 300011579 x 295455909 x 7895
Negative: -1 x -46651555-5 x -9330311-19 x -2455345-95 x -491069-311 x -150005-1555 x -30001-1579 x -29545-5909 x -7895


How do I find the factor combinations of the number 46,651,555?

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 46,651,555, 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 46,651,555
-1 -46,651,555

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 46,651,555.

Example:
1 x 46,651,555 = 46,651,555
and
-1 x -46,651,555 = 46,651,555
Notice both answers equal 46,651,555

With that explanation out of the way, let's continue. Next, we take the number 46,651,555 and divide it by 2:

46,651,555 ÷ 2 = 23,325,777.5

If the quotient is a whole number, then 2 and 23,325,777.5 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 46,651,555
-1 -46,651,555

Now, we try dividing 46,651,555 by 3:

46,651,555 ÷ 3 = 15,550,518.3333

If the quotient is a whole number, then 3 and 15,550,518.3333 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 46,651,555
-1 -46,651,555

Let's try dividing by 4:

46,651,555 ÷ 4 = 11,662,888.75

If the quotient is a whole number, then 4 and 11,662,888.75 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 46,651,555
-1 46,651,555
Keep dividing by the next highest number until you cannot divide anymore.

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

1519953111,5551,5795,9097,89529,54530,001150,005491,0692,455,3459,330,31146,651,555
-1-5-19-95-311-1,555-1,579-5,909-7,895-29,545-30,001-150,005-491,069-2,455,345-9,330,311-46,651,555

More Examples

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