Q: What are the factor combinations of the number 142,434,145?

 A:
Positive:   1 x 1424341455 x 284868297 x 2034773535 x 4069547643 x 2215153215 x 443034501 x 316456329 x 22505
Negative: -1 x -142434145-5 x -28486829-7 x -20347735-35 x -4069547-643 x -221515-3215 x -44303-4501 x -31645-6329 x -22505


How do I find the factor combinations of the number 142,434,145?

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 142,434,145, 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.

1 142,434,145
-1 -142,434,145

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 142,434,145.

Example:
1 x 142,434,145 = 142,434,145
and
-1 x -142,434,145 = 142,434,145
Notice both answers equal 142,434,145

With that explanation out of the way, let's continue. Next, we take the number 142,434,145 and divide it by 2:

142,434,145 ÷ 2 = 71,217,072.5

If the quotient is a whole number, then 2 and 71,217,072.5 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:

1 142,434,145
-1 -142,434,145

Now, we try dividing 142,434,145 by 3:

142,434,145 ÷ 3 = 47,478,048.3333

If the quotient is a whole number, then 3 and 47,478,048.3333 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:

1 142,434,145
-1 -142,434,145

Let's try dividing by 4:

142,434,145 ÷ 4 = 35,608,536.25

If the quotient is a whole number, then 4 and 35,608,536.25 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:

1 142,434,145
-1 142,434,145
Keep dividing by the next highest number until you cannot divide anymore.

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

157356433,2154,5016,32922,50531,64544,303221,5154,069,54720,347,73528,486,829142,434,145
-1-5-7-35-643-3,215-4,501-6,329-22,505-31,645-44,303-221,515-4,069,547-20,347,735-28,486,829-142,434,145

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