Q: What are the factor combinations of the number 143,146,211?

 A:
Positive:   1 x 14314621113 x 1101124741 x 349137173 x 1960907169 x 847019283 x 505817533 x 268567949 x 1508392993 x 478273679 x 389096929 x 2065911603 x 12337
Negative: -1 x -143146211-13 x -11011247-41 x -3491371-73 x -1960907-169 x -847019-283 x -505817-533 x -268567-949 x -150839-2993 x -47827-3679 x -38909-6929 x -20659-11603 x -12337


How do I find the factor combinations of the number 143,146,211?

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 143,146,211, 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.

1 143,146,211
-1 -143,146,211

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 143,146,211.

Example:
1 x 143,146,211 = 143,146,211
and
-1 x -143,146,211 = 143,146,211
Notice both answers equal 143,146,211

With that explanation out of the way, let's continue. Next, we take the number 143,146,211 and divide it by 2:

143,146,211 ÷ 2 = 71,573,105.5

If the quotient is a whole number, then 2 and 71,573,105.5 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:

1 143,146,211
-1 -143,146,211

Now, we try dividing 143,146,211 by 3:

143,146,211 ÷ 3 = 47,715,403.6667

If the quotient is a whole number, then 3 and 47,715,403.6667 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:

1 143,146,211
-1 -143,146,211

Let's try dividing by 4:

143,146,211 ÷ 4 = 35,786,552.75

If the quotient is a whole number, then 4 and 35,786,552.75 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:

1 143,146,211
-1 143,146,211
Keep dividing by the next highest number until you cannot divide anymore.

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

11341731692835339492,9933,6796,92911,60312,33720,65938,90947,827150,839268,567505,817847,0191,960,9073,491,37111,011,247143,146,211
-1-13-41-73-169-283-533-949-2,993-3,679-6,929-11,603-12,337-20,659-38,909-47,827-150,839-268,567-505,817-847,019-1,960,907-3,491,371-11,011,247-143,146,211

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