Q: What are the factor combinations of the number 45,504,053?

 A:
Positive:   1 x 455040537 x 650057917 x 2676709119 x 382387389 x 116977983 x 462912723 x 167116613 x 6881
Negative: -1 x -45504053-7 x -6500579-17 x -2676709-119 x -382387-389 x -116977-983 x -46291-2723 x -16711-6613 x -6881


How do I find the factor combinations of the number 45,504,053?

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 45,504,053, 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 45,504,053
-1 -45,504,053

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 45,504,053.

Example:
1 x 45,504,053 = 45,504,053
and
-1 x -45,504,053 = 45,504,053
Notice both answers equal 45,504,053

With that explanation out of the way, let's continue. Next, we take the number 45,504,053 and divide it by 2:

45,504,053 ÷ 2 = 22,752,026.5

If the quotient is a whole number, then 2 and 22,752,026.5 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 45,504,053
-1 -45,504,053

Now, we try dividing 45,504,053 by 3:

45,504,053 ÷ 3 = 15,168,017.6667

If the quotient is a whole number, then 3 and 15,168,017.6667 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 45,504,053
-1 -45,504,053

Let's try dividing by 4:

45,504,053 ÷ 4 = 11,376,013.25

If the quotient is a whole number, then 4 and 11,376,013.25 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 45,504,053
-1 45,504,053
Keep dividing by the next highest number until you cannot divide anymore.

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

17171193899832,7236,6136,88116,71146,291116,977382,3872,676,7096,500,57945,504,053
-1-7-17-119-389-983-2,723-6,613-6,881-16,711-46,291-116,977-382,387-2,676,709-6,500,579-45,504,053

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