Q: What are the factor combinations of the number 46,000,625?

 A:
Positive:   1 x 460006255 x 920012511 x 418187525 x 184002555 x 836375125 x 368005275 x 167275625 x 736011375 x 334556691 x 6875
Negative: -1 x -46000625-5 x -9200125-11 x -4181875-25 x -1840025-55 x -836375-125 x -368005-275 x -167275-625 x -73601-1375 x -33455-6691 x -6875


How do I find the factor combinations of the number 46,000,625?

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 46,000,625, 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 46,000,625
-1 -46,000,625

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 46,000,625.

Example:
1 x 46,000,625 = 46,000,625
and
-1 x -46,000,625 = 46,000,625
Notice both answers equal 46,000,625

With that explanation out of the way, let's continue. Next, we take the number 46,000,625 and divide it by 2:

46,000,625 ÷ 2 = 23,000,312.5

If the quotient is a whole number, then 2 and 23,000,312.5 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 46,000,625
-1 -46,000,625

Now, we try dividing 46,000,625 by 3:

46,000,625 ÷ 3 = 15,333,541.6667

If the quotient is a whole number, then 3 and 15,333,541.6667 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 46,000,625
-1 -46,000,625

Let's try dividing by 4:

46,000,625 ÷ 4 = 11,500,156.25

If the quotient is a whole number, then 4 and 11,500,156.25 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 46,000,625
-1 46,000,625
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551252756251,3756,6916,87533,45573,601167,275368,005836,3751,840,0254,181,8759,200,12546,000,625
-1-5-11-25-55-125-275-625-1,375-6,691-6,875-33,455-73,601-167,275-368,005-836,375-1,840,025-4,181,875-9,200,125-46,000,625

More Examples

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