Q: What are the factor combinations of the number 104,974,765?

 A:
Positive:   1 x 1049747655 x 209949537 x 1499639535 x 29992791487 x 705952017 x 520457435 x 1411910085 x 10409
Negative: -1 x -104974765-5 x -20994953-7 x -14996395-35 x -2999279-1487 x -70595-2017 x -52045-7435 x -14119-10085 x -10409


How do I find the factor combinations of the number 104,974,765?

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 104,974,765, 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.

1 104,974,765
-1 -104,974,765

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 104,974,765.

Example:
1 x 104,974,765 = 104,974,765
and
-1 x -104,974,765 = 104,974,765
Notice both answers equal 104,974,765

With that explanation out of the way, let's continue. Next, we take the number 104,974,765 and divide it by 2:

104,974,765 ÷ 2 = 52,487,382.5

If the quotient is a whole number, then 2 and 52,487,382.5 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:

1 104,974,765
-1 -104,974,765

Now, we try dividing 104,974,765 by 3:

104,974,765 ÷ 3 = 34,991,588.3333

If the quotient is a whole number, then 3 and 34,991,588.3333 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:

1 104,974,765
-1 -104,974,765

Let's try dividing by 4:

104,974,765 ÷ 4 = 26,243,691.25

If the quotient is a whole number, then 4 and 26,243,691.25 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:

1 104,974,765
-1 104,974,765
Keep dividing by the next highest number until you cannot divide anymore.

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

157351,4872,0177,43510,08510,40914,11952,04570,5952,999,27914,996,39520,994,953104,974,765
-1-5-7-35-1,487-2,017-7,435-10,085-10,409-14,119-52,045-70,595-2,999,279-14,996,395-20,994,953-104,974,765

More Examples

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