Q: What are the factor combinations of the number 70,074,036?

 A:
Positive:   1 x 700740362 x 350370183 x 233580124 x 175185096 x 116790069 x 778600412 x 583950318 x 389300236 x 1946501
Negative: -1 x -70074036-2 x -35037018-3 x -23358012-4 x -17518509-6 x -11679006-9 x -7786004-12 x -5839503-18 x -3893002-36 x -1946501


How do I find the factor combinations of the number 70,074,036?

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 70,074,036, 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 70,074,036
-1 -70,074,036

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 70,074,036.

Example:
1 x 70,074,036 = 70,074,036
and
-1 x -70,074,036 = 70,074,036
Notice both answers equal 70,074,036

With that explanation out of the way, let's continue. Next, we take the number 70,074,036 and divide it by 2:

70,074,036 ÷ 2 = 35,037,018

If the quotient is a whole number, then 2 and 35,037,018 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 35,037,018 70,074,036
-1 -2 -35,037,018 -70,074,036

Now, we try dividing 70,074,036 by 3:

70,074,036 ÷ 3 = 23,358,012

If the quotient is a whole number, then 3 and 23,358,012 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 23,358,012 35,037,018 70,074,036
-1 -2 -3 -23,358,012 -35,037,018 -70,074,036

Let's try dividing by 4:

70,074,036 ÷ 4 = 17,518,509

If the quotient is a whole number, then 4 and 17,518,509 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 17,518,509 23,358,012 35,037,018 70,074,036
-1 -2 -3 -4 -17,518,509 -23,358,012 -35,037,018 70,074,036
Keep dividing by the next highest number until you cannot divide anymore.

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

1234691218361,946,5013,893,0025,839,5037,786,00411,679,00617,518,50923,358,01235,037,01870,074,036
-1-2-3-4-6-9-12-18-36-1,946,501-3,893,002-5,839,503-7,786,004-11,679,006-17,518,509-23,358,012-35,037,018-70,074,036

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