Q: What are the factor combinations of the number 46,044,145?

 A:
Positive:   1 x 460441455 x 92088297 x 657773531 x 148529535 x 1315547155 x 297059217 x 2121851085 x 42437
Negative: -1 x -46044145-5 x -9208829-7 x -6577735-31 x -1485295-35 x -1315547-155 x -297059-217 x -212185-1085 x -42437


How do I find the factor combinations of the number 46,044,145?

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 46,044,145, 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 46,044,145
-1 -46,044,145

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 46,044,145.

Example:
1 x 46,044,145 = 46,044,145
and
-1 x -46,044,145 = 46,044,145
Notice both answers equal 46,044,145

With that explanation out of the way, let's continue. Next, we take the number 46,044,145 and divide it by 2:

46,044,145 ÷ 2 = 23,022,072.5

If the quotient is a whole number, then 2 and 23,022,072.5 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 46,044,145
-1 -46,044,145

Now, we try dividing 46,044,145 by 3:

46,044,145 ÷ 3 = 15,348,048.3333

If the quotient is a whole number, then 3 and 15,348,048.3333 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 46,044,145
-1 -46,044,145

Let's try dividing by 4:

46,044,145 ÷ 4 = 11,511,036.25

If the quotient is a whole number, then 4 and 11,511,036.25 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 46,044,145
-1 46,044,145
Keep dividing by the next highest number until you cannot divide anymore.

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

15731351552171,08542,437212,185297,0591,315,5471,485,2956,577,7359,208,82946,044,145
-1-5-7-31-35-155-217-1,085-42,437-212,185-297,059-1,315,547-1,485,295-6,577,735-9,208,829-46,044,145

More Examples

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