Q: What are the factor combinations of the number 45,016,153?

 A:
Positive:   1 x 450161537 x 643087913 x 346278117 x 264800949 x 91869791 x 494683119 x 378287221 x 203693637 x 70669833 x 540411547 x 290994157 x 10829
Negative: -1 x -45016153-7 x -6430879-13 x -3462781-17 x -2648009-49 x -918697-91 x -494683-119 x -378287-221 x -203693-637 x -70669-833 x -54041-1547 x -29099-4157 x -10829


How do I find the factor combinations of the number 45,016,153?

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 45,016,153, 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 45,016,153
-1 -45,016,153

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 45,016,153.

Example:
1 x 45,016,153 = 45,016,153
and
-1 x -45,016,153 = 45,016,153
Notice both answers equal 45,016,153

With that explanation out of the way, let's continue. Next, we take the number 45,016,153 and divide it by 2:

45,016,153 ÷ 2 = 22,508,076.5

If the quotient is a whole number, then 2 and 22,508,076.5 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 45,016,153
-1 -45,016,153

Now, we try dividing 45,016,153 by 3:

45,016,153 ÷ 3 = 15,005,384.3333

If the quotient is a whole number, then 3 and 15,005,384.3333 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 45,016,153
-1 -45,016,153

Let's try dividing by 4:

45,016,153 ÷ 4 = 11,254,038.25

If the quotient is a whole number, then 4 and 11,254,038.25 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 45,016,153
-1 45,016,153
Keep dividing by the next highest number until you cannot divide anymore.

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

17131749911192216378331,5474,15710,82929,09954,04170,669203,693378,287494,683918,6972,648,0093,462,7816,430,87945,016,153
-1-7-13-17-49-91-119-221-637-833-1,547-4,157-10,829-29,099-54,041-70,669-203,693-378,287-494,683-918,697-2,648,009-3,462,781-6,430,879-45,016,153

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