Q: What are the factor combinations of the number 103,242,205?

 A:
Positive:   1 x 1032422055 x 2064844111 x 938565555 x 1877131569 x 1814452845 x 362893299 x 312956259 x 16495
Negative: -1 x -103242205-5 x -20648441-11 x -9385655-55 x -1877131-569 x -181445-2845 x -36289-3299 x -31295-6259 x -16495


How do I find the factor combinations of the number 103,242,205?

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 103,242,205, 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.

1 103,242,205
-1 -103,242,205

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 103,242,205.

Example:
1 x 103,242,205 = 103,242,205
and
-1 x -103,242,205 = 103,242,205
Notice both answers equal 103,242,205

With that explanation out of the way, let's continue. Next, we take the number 103,242,205 and divide it by 2:

103,242,205 ÷ 2 = 51,621,102.5

If the quotient is a whole number, then 2 and 51,621,102.5 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:

1 103,242,205
-1 -103,242,205

Now, we try dividing 103,242,205 by 3:

103,242,205 ÷ 3 = 34,414,068.3333

If the quotient is a whole number, then 3 and 34,414,068.3333 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:

1 103,242,205
-1 -103,242,205

Let's try dividing by 4:

103,242,205 ÷ 4 = 25,810,551.25

If the quotient is a whole number, then 4 and 25,810,551.25 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:

1 103,242,205
-1 103,242,205
Keep dividing by the next highest number until you cannot divide anymore.

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

1511555692,8453,2996,25916,49531,29536,289181,4451,877,1319,385,65520,648,441103,242,205
-1-5-11-55-569-2,845-3,299-6,259-16,495-31,295-36,289-181,445-1,877,131-9,385,655-20,648,441-103,242,205

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