Q: What are the factor combinations of the number 45,343,051?

 A:
Positive:   1 x 4534305113 x 348792723 x 1971437139 x 326209299 x 1516491091 x 415611807 x 250933197 x 14183
Negative: -1 x -45343051-13 x -3487927-23 x -1971437-139 x -326209-299 x -151649-1091 x -41561-1807 x -25093-3197 x -14183


How do I find the factor combinations of the number 45,343,051?

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 45,343,051, 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 45,343,051
-1 -45,343,051

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 45,343,051.

Example:
1 x 45,343,051 = 45,343,051
and
-1 x -45,343,051 = 45,343,051
Notice both answers equal 45,343,051

With that explanation out of the way, let's continue. Next, we take the number 45,343,051 and divide it by 2:

45,343,051 ÷ 2 = 22,671,525.5

If the quotient is a whole number, then 2 and 22,671,525.5 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 45,343,051
-1 -45,343,051

Now, we try dividing 45,343,051 by 3:

45,343,051 ÷ 3 = 15,114,350.3333

If the quotient is a whole number, then 3 and 15,114,350.3333 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 45,343,051
-1 -45,343,051

Let's try dividing by 4:

45,343,051 ÷ 4 = 11,335,762.75

If the quotient is a whole number, then 4 and 11,335,762.75 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 45,343,051
-1 45,343,051
Keep dividing by the next highest number until you cannot divide anymore.

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

113231392991,0911,8073,19714,18325,09341,561151,649326,2091,971,4373,487,92745,343,051
-1-13-23-139-299-1,091-1,807-3,197-14,183-25,093-41,561-151,649-326,209-1,971,437-3,487,927-45,343,051

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