Q: What are the factor combinations of the number 142,434,523?

 A:
Positive:   1 x 1424345237 x 2034778911 x 1294859349 x 290682777 x 1849799343 x 415261539 x 2642572401 x 593233773 x 377515393 x 26411
Negative: -1 x -142434523-7 x -20347789-11 x -12948593-49 x -2906827-77 x -1849799-343 x -415261-539 x -264257-2401 x -59323-3773 x -37751-5393 x -26411


How do I find the factor combinations of the number 142,434,523?

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 142,434,523, 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.

1 142,434,523
-1 -142,434,523

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 142,434,523.

Example:
1 x 142,434,523 = 142,434,523
and
-1 x -142,434,523 = 142,434,523
Notice both answers equal 142,434,523

With that explanation out of the way, let's continue. Next, we take the number 142,434,523 and divide it by 2:

142,434,523 ÷ 2 = 71,217,261.5

If the quotient is a whole number, then 2 and 71,217,261.5 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:

1 142,434,523
-1 -142,434,523

Now, we try dividing 142,434,523 by 3:

142,434,523 ÷ 3 = 47,478,174.3333

If the quotient is a whole number, then 3 and 47,478,174.3333 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:

1 142,434,523
-1 -142,434,523

Let's try dividing by 4:

142,434,523 ÷ 4 = 35,608,630.75

If the quotient is a whole number, then 4 and 35,608,630.75 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:

1 142,434,523
-1 142,434,523
Keep dividing by the next highest number until you cannot divide anymore.

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

171149773435392,4013,7735,39326,41137,75159,323264,257415,2611,849,7992,906,82712,948,59320,347,789142,434,523
-1-7-11-49-77-343-539-2,401-3,773-5,393-26,411-37,751-59,323-264,257-415,261-1,849,799-2,906,827-12,948,593-20,347,789-142,434,523

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 142,434,523:


Ask a Question