Q: What are the factor combinations of the number 45,103,159?

 A:
Positive:   1 x 4510315917 x 265312753 x 851003113 x 399143443 x 101813901 x 500591921 x 234795989 x 7531
Negative: -1 x -45103159-17 x -2653127-53 x -851003-113 x -399143-443 x -101813-901 x -50059-1921 x -23479-5989 x -7531


How do I find the factor combinations of the number 45,103,159?

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 45,103,159, 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 45,103,159
-1 -45,103,159

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 45,103,159.

Example:
1 x 45,103,159 = 45,103,159
and
-1 x -45,103,159 = 45,103,159
Notice both answers equal 45,103,159

With that explanation out of the way, let's continue. Next, we take the number 45,103,159 and divide it by 2:

45,103,159 ÷ 2 = 22,551,579.5

If the quotient is a whole number, then 2 and 22,551,579.5 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 45,103,159
-1 -45,103,159

Now, we try dividing 45,103,159 by 3:

45,103,159 ÷ 3 = 15,034,386.3333

If the quotient is a whole number, then 3 and 15,034,386.3333 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 45,103,159
-1 -45,103,159

Let's try dividing by 4:

45,103,159 ÷ 4 = 11,275,789.75

If the quotient is a whole number, then 4 and 11,275,789.75 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 45,103,159
-1 45,103,159
Keep dividing by the next highest number until you cannot divide anymore.

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

117531134439011,9215,9897,53123,47950,059101,813399,143851,0032,653,12745,103,159
-1-17-53-113-443-901-1,921-5,989-7,531-23,479-50,059-101,813-399,143-851,003-2,653,127-45,103,159

More Examples

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