Q: What are the factor combinations of the number 146,086,075?

 A:
Positive:   1 x 1460860755 x 2921721525 x 584344341 x 3563075205 x 712615359 x 406925397 x 3679751025 x 1425231795 x 813851985 x 735958975 x 162779925 x 14719
Negative: -1 x -146086075-5 x -29217215-25 x -5843443-41 x -3563075-205 x -712615-359 x -406925-397 x -367975-1025 x -142523-1795 x -81385-1985 x -73595-8975 x -16277-9925 x -14719


How do I find the factor combinations of the number 146,086,075?

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 146,086,075, 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.

1 146,086,075
-1 -146,086,075

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 146,086,075.

Example:
1 x 146,086,075 = 146,086,075
and
-1 x -146,086,075 = 146,086,075
Notice both answers equal 146,086,075

With that explanation out of the way, let's continue. Next, we take the number 146,086,075 and divide it by 2:

146,086,075 ÷ 2 = 73,043,037.5

If the quotient is a whole number, then 2 and 73,043,037.5 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:

1 146,086,075
-1 -146,086,075

Now, we try dividing 146,086,075 by 3:

146,086,075 ÷ 3 = 48,695,358.3333

If the quotient is a whole number, then 3 and 48,695,358.3333 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:

1 146,086,075
-1 -146,086,075

Let's try dividing by 4:

146,086,075 ÷ 4 = 36,521,518.75

If the quotient is a whole number, then 4 and 36,521,518.75 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:

1 146,086,075
-1 146,086,075
Keep dividing by the next highest number until you cannot divide anymore.

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

1525412053593971,0251,7951,9858,9759,92514,71916,27773,59581,385142,523367,975406,925712,6153,563,0755,843,44329,217,215146,086,075
-1-5-25-41-205-359-397-1,025-1,795-1,985-8,975-9,925-14,719-16,277-73,595-81,385-142,523-367,975-406,925-712,615-3,563,075-5,843,443-29,217,215-146,086,075

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