Q: What are the factor combinations of the number 140,048,701?

 A:
Positive:   1 x 14004870113 x 107729772539 x 551594243 x 33007
Negative: -1 x -140048701-13 x -10772977-2539 x -55159-4243 x -33007


How do I find the factor combinations of the number 140,048,701?

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 140,048,701, 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.

1 140,048,701
-1 -140,048,701

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 140,048,701.

Example:
1 x 140,048,701 = 140,048,701
and
-1 x -140,048,701 = 140,048,701
Notice both answers equal 140,048,701

With that explanation out of the way, let's continue. Next, we take the number 140,048,701 and divide it by 2:

140,048,701 ÷ 2 = 70,024,350.5

If the quotient is a whole number, then 2 and 70,024,350.5 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:

1 140,048,701
-1 -140,048,701

Now, we try dividing 140,048,701 by 3:

140,048,701 ÷ 3 = 46,682,900.3333

If the quotient is a whole number, then 3 and 46,682,900.3333 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:

1 140,048,701
-1 -140,048,701

Let's try dividing by 4:

140,048,701 ÷ 4 = 35,012,175.25

If the quotient is a whole number, then 4 and 35,012,175.25 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:

1 140,048,701
-1 140,048,701
Keep dividing by the next highest number until you cannot divide anymore.

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

1132,5394,24333,00755,15910,772,977140,048,701
-1-13-2,539-4,243-33,007-55,159-10,772,977-140,048,701

More Examples

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