Q: What are the factor combinations of the number 143,425,435?

 A:
Positive:   1 x 1434254355 x 2868508747 x 3051605235 x 610321367 x 3908051663 x 862451835 x 781618315 x 17249
Negative: -1 x -143425435-5 x -28685087-47 x -3051605-235 x -610321-367 x -390805-1663 x -86245-1835 x -78161-8315 x -17249


How do I find the factor combinations of the number 143,425,435?

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 143,425,435, 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.

1 143,425,435
-1 -143,425,435

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 143,425,435.

Example:
1 x 143,425,435 = 143,425,435
and
-1 x -143,425,435 = 143,425,435
Notice both answers equal 143,425,435

With that explanation out of the way, let's continue. Next, we take the number 143,425,435 and divide it by 2:

143,425,435 ÷ 2 = 71,712,717.5

If the quotient is a whole number, then 2 and 71,712,717.5 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:

1 143,425,435
-1 -143,425,435

Now, we try dividing 143,425,435 by 3:

143,425,435 ÷ 3 = 47,808,478.3333

If the quotient is a whole number, then 3 and 47,808,478.3333 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:

1 143,425,435
-1 -143,425,435

Let's try dividing by 4:

143,425,435 ÷ 4 = 35,856,358.75

If the quotient is a whole number, then 4 and 35,856,358.75 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:

1 143,425,435
-1 143,425,435
Keep dividing by the next highest number until you cannot divide anymore.

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

15472353671,6631,8358,31517,24978,16186,245390,805610,3213,051,60528,685,087143,425,435
-1-5-47-235-367-1,663-1,835-8,315-17,249-78,161-86,245-390,805-610,321-3,051,605-28,685,087-143,425,435

More Examples

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