Q: What are the factor combinations of the number 28,977,355?

 A:
Positive:   1 x 289773555 x 579547111 x 263430523 x 125988555 x 526861115 x 251977253 x 1145351265 x 22907
Negative: -1 x -28977355-5 x -5795471-11 x -2634305-23 x -1259885-55 x -526861-115 x -251977-253 x -114535-1265 x -22907


How do I find the factor combinations of the number 28,977,355?

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 28,977,355, 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 28,977,355
-1 -28,977,355

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 28,977,355.

Example:
1 x 28,977,355 = 28,977,355
and
-1 x -28,977,355 = 28,977,355
Notice both answers equal 28,977,355

With that explanation out of the way, let's continue. Next, we take the number 28,977,355 and divide it by 2:

28,977,355 ÷ 2 = 14,488,677.5

If the quotient is a whole number, then 2 and 14,488,677.5 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 28,977,355
-1 -28,977,355

Now, we try dividing 28,977,355 by 3:

28,977,355 ÷ 3 = 9,659,118.3333

If the quotient is a whole number, then 3 and 9,659,118.3333 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 28,977,355
-1 -28,977,355

Let's try dividing by 4:

28,977,355 ÷ 4 = 7,244,338.75

If the quotient is a whole number, then 4 and 7,244,338.75 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 28,977,355
-1 28,977,355
Keep dividing by the next highest number until you cannot divide anymore.

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

151123551152531,26522,907114,535251,977526,8611,259,8852,634,3055,795,47128,977,355
-1-5-11-23-55-115-253-1,265-22,907-114,535-251,977-526,861-1,259,885-2,634,305-5,795,471-28,977,355

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