Q: What are the factor combinations of the number 142,143,001?

 A:
Positive:   1 x 1421430017 x 2030614311 x 1292209113 x 1093407717 x 836135377 x 184601391 x 1562011119 x 1194479143 x 994007187 x 760123221 x 6431811001 x 1420011309 x 1085891547 x 918832431 x 584718353 x 17017
Negative: -1 x -142143001-7 x -20306143-11 x -12922091-13 x -10934077-17 x -8361353-77 x -1846013-91 x -1562011-119 x -1194479-143 x -994007-187 x -760123-221 x -643181-1001 x -142001-1309 x -108589-1547 x -91883-2431 x -58471-8353 x -17017


How do I find the factor combinations of the number 142,143,001?

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 142,143,001, 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.

1 142,143,001
-1 -142,143,001

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 142,143,001.

Example:
1 x 142,143,001 = 142,143,001
and
-1 x -142,143,001 = 142,143,001
Notice both answers equal 142,143,001

With that explanation out of the way, let's continue. Next, we take the number 142,143,001 and divide it by 2:

142,143,001 ÷ 2 = 71,071,500.5

If the quotient is a whole number, then 2 and 71,071,500.5 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:

1 142,143,001
-1 -142,143,001

Now, we try dividing 142,143,001 by 3:

142,143,001 ÷ 3 = 47,381,000.3333

If the quotient is a whole number, then 3 and 47,381,000.3333 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:

1 142,143,001
-1 -142,143,001

Let's try dividing by 4:

142,143,001 ÷ 4 = 35,535,750.25

If the quotient is a whole number, then 4 and 35,535,750.25 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:

1 142,143,001
-1 142,143,001
Keep dividing by the next highest number until you cannot divide anymore.

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

1711131777911191431872211,0011,3091,5472,4318,35317,01758,47191,883108,589142,001643,181760,123994,0071,194,4791,562,0111,846,0138,361,35310,934,07712,922,09120,306,143142,143,001
-1-7-11-13-17-77-91-119-143-187-221-1,001-1,309-1,547-2,431-8,353-17,017-58,471-91,883-108,589-142,001-643,181-760,123-994,007-1,194,479-1,562,011-1,846,013-8,361,353-10,934,077-12,922,091-20,306,143-142,143,001

More Examples

Here are some more numbers to try:

142,142,999142,143,000142,143,002142,143,003
Try the factor calculator

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