Q: What are the prime factors of the number 140,421,430?

 A: 2, 5, 47, 109, 2741

Why are those the prime factors of the number 140,421,430?

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 140,421,430

140,421,430
Factor Arrows
270,210,715
Factor Arrows
514,042,143
Factor Arrows
47298,769
Factor Arrows
1092,741

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, 5, 47, 109, 2741

We can check our work by multiplying all of the prime factors together: 2 x 5 x 47 x 109 x 2,741 = 140,421,430

This can also be written as 21 x 51 x 471 x 1091 x 2,7411 = 140,421,430

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


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