Q: What are the prime factors of the number 145,734,464?

 A: 2, 2277101

Why are those the prime factors of the number 145,734,464?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 145,734,464

145,734,464
Factor Arrows
272,867,232
Factor Arrows
236,433,616
Factor Arrows
218,216,808
Factor Arrows
29,108,404
Factor Arrows
24,554,202
Factor Arrows
22,277,101

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 2277101

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2,277,101 = 145,734,464

This can also be written as 26 x 2,277,1011 = 145,734,464

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 145,734,464:


Ask a Question